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# Symmetric integer generator

World's simplest integer tool
This online utility generates a sequence of symmetric integers and prints them in the output. It can find all palindromic integers in the given range or calculate a certain number of them starting from a specific value. You can also customize the palindrome sequence by adjusting the integer separator and decorator symbols that wrap the integers. Created by math nerds from team Browserling.
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Range and Count
Range start.
Range end.
Start position.
Count.
Element Formatting
Symbols around integers:
Left symbol.
Right symbol.
Symbols around sequence:
Left symbol.
Right symbol.
Element Delimiter
Integer delimiter.

## What is a symmetric integer generator?

With this browser-based program, you can print a list of integer palindromes, also known as symmetric integers. An integer is symmetric if its digits are mirrored on the right and left sides relative to the middle point. A palindromic integer can be read both from the beginning and from the end and you will get the same value. There are infinitely many palindrome integers, starting from single-digit integers, for example, "0" and "6", two-digit integers, for example, "22" and "99", three-digit "121" and "555", ten-digit "1234554321", and more. This application has two modes of operation. The first mode computes all symmetric integers in any interval. The second mode computes the specified number of consecutive symmetric integers starting from a specific integer. You can switch between these two generator modes in the options and use the start-range, end-range, start-position, and count fields below the mode switches to set the needed parameters. You can create custom integer palindrome sequences by wrapping all values in brackets, quotes, or other characters. For example, you can create a JavaScript array of integer palindromes by setting the sequence start and end characters to "[" and "]", which will produce "[2992, 3003, 3113]" or a Perl list "(767, 777, 787)". You can also wrap individual elements in quotation marks and create a list of strings '444', '454', '464' and change the separator symbol that goes between all elements. Integerabulous!

## Symmetric integer generator examples

Click to use
A Range of Palindromes
In this example, we extract all symmetric integers from the range 0 to 1000 and print them separated by spaces. It turns out that there are 109 palindromes among the first one thousand integers. The integers from 0 to 9 are palindromic as they consist of a single digit. Values from 11 to 99 have mirror symmetry as both digits are duplicates. And integers from 101 to 999 have central symmetry as the digit in the center is not duplicated but the other two digits around it are duplicated.
0 1 2 3 4 5 6 7 8 9 11 22 33 44 55 66 77 88 99 101 111 121 131 141 151 161 171 181 191 202 212 222 232 242 252 262 272 282 292 303 313 323 333 343 353 363 373 383 393 404 414 424 434 444 454 464 474 484 494 505 515 525 535 545 555 565 575 585 595 606 616 626 636 646 656 666 676 686 696 707 717 727 737 747 757 767 777 787 797 808 818 828 838 848 858 868 878 888 898 909 919 929 939 949 959 969 979 989 999
Required options
These options will be used automatically if you select this example.
Range start.
Range end.
Left symbol.
Right symbol.
Left symbol.
Right symbol.
Integer delimiter.
Custom Formatting
This example generates thirty comma-separated palindromes starting from the ten-thousandth position. It uses custom formatting and wraps each symmetric integer in guillemets marks and the entire sequence in curly brackets. Each palindrome consists of an odd number of digits, therefore the central digit is unique but the two side digits are reflected.
{«10001», «10101», «10201», «10301», «10401», «10501», «10601», «10701», «10801», «10901», «11011», «11111», «11211», «11311», «11411», «11511», «11611», «11711», «11811», «11911», «12021», «12121», «12221», «12321», «12421», «12521», «12621», «12721», «12821», «12921», «13031»}
Required options
These options will be used automatically if you select this example.
Start position.
Count.
Left symbol.
Right symbol.
Left symbol.
Right symbol.
Integer delimiter.
Ten-digit Symmetric Values
In this example, we specify a large starting value equal to five billion and calculate ten symmetric values that follow it. We place each palindrome on a new line by using the "\n" character in the palindrome separator option. We also add the right-arrow and left-arrow glyphs before and after each value, hinting that the palindromes can be read from any direction.
🡒 5000000005 🡐 🡒 5000110005 🡐 🡒 5000220005 🡐 🡒 5000330005 🡐 🡒 5000440005 🡐 🡒 5000550005 🡐 🡒 5000660005 🡐 🡒 5000770005 🡐 🡒 5000880005 🡐 🡒 5000990005 🡐 🡒 5001001005 🡐
Required options
These options will be used automatically if you select this example.
Start position.
Count.
Left symbol.
Right symbol.
Left symbol.
Right symbol.
Integer delimiter.
Pro tips Master online integer tools
You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!
https://onlineintegertools.com/generate-symmetric-integers?&generate-range=true&range-start=0&range-end=1000&separator=%20&before-integer=&after-integer=&before-sequence=&after-sequence=
All integer tools
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Quickly rewrite integer digits using pretty Unicode glyphs.
Quickly generate random two-dimensional integer points.
Quickly generate random three-dimensional integer points.
Quickly print a list of integers that are palindromes.
Quickly convert the given integer to a palindromic integer.
Quickly find all integers in the given text or string.
Quickly make integer digits go in a triangle wave.
Quickly unleash the destructive force of Zalgo on integers.
Quickly find two or more integers that add up to the given integer.
Quickly find several integers that multiply up to the given integer.
Quickly randomize the given sequence of integers.
Quickly mix the order of digits in an integer.
Quickly put integers in increasing or decreasing order.
Quickly sort the individual digits of an integer.
Quickly increase all integers by a certain amount.
Quickly increase individual digits by a certain amount.
Quickly decrease all integers by a certain amount.
Quickly decrease individual digits by a certain amount.
Quickly randomly select an integer from a list of integers.
Quickly create groups from the digits of an integer.
Quickly write integer digits backwards.
Quickly remove one or more digits from an integer.
Quickly replace one or more digits in an integer.
Quickly drop digits from an integer and make it shorter.
Quickly add the thousands separator to integers.
Quickly remove the thousands separator from integers.
Quickly find the largest integer in a list of integers.
Quickly find the smallest integer in a list of integers.
Quickly find the total sum of a bunch of integers.
Quickly find the sum of all the digits in an integer.
Quickly find the total product of a bunch of integers.
Quickly find the product of all the digits in an integer.
Quickly calculate the partial sum of a bunch of integers.
Quickly calculate the partial product of a bunch of integers.
Quickly flip the sign of one or more integers.
Quickly split an integer into chunks of a given length.
Quickly merge partial integers together to form a larger integer.
Quickly round integers up or down to the required precision.
Quickly generate a list of von Neumann ordinals.
Quickly generate a list of Zermelo ordinals.
Quickly generate an ordered sequence of integers.
Quickly generate an ordered list of even integers.
Quickly generate an ordered list of odd integers.
Quickly write an integer spelling in words.
Quickly convert spelled integers to regular integers with digits.
Quickly generate an array of integers for programming.
Quickly find the number of occurrences of digits in integers.
Coming soon These integer tools are on the way
Draw von Neumann Universe
Create a drawing that visualizes von Neumann hierarchy of sets.
Generate a Sudoku Board
Create a sudoku puzzle.
Generate Magic Integers
Create a list of neat-looking integers (called magic integers).
Create Integer n-Tuples
Generate a list of tuples of integers with n elements.
Convert Integers to Unary Base
Quickly convert integers to base one.
Convert Unary Base to Integers
Quickly convert base one to integers.
Convert Integers to Binary Base
Quickly convert integers to base two.
Convert Binary Base to Integers
Quickly convert base two to integers.
Convert Integers to Octal Base
Quickly convert integers to base eight.
Convert Octal Base to Integers
Quickly convert base eight to integers.
Convert Integers to Hex Base
Quickly convert integers to base sixteen.
Convert Hex Base to Integers
Quickly convert base sixteen to integers.
Convert Integers to Base64
Quickly encode integers to base-64.
Convert Base64 to Integers
Quickly decode base-64 to integers.
Change Integer Base
Quickly convert integers to a custom base.
Convert Integers to HTML Entities
Quickly encode integers to HTML encoding.
Convert HTML Entities to Integers
Quickly decode HTML entities to integers.
Convert Integers to URL Encoding
Quickly encode integers to URL (percent) encoding.
Convert URL Encoding to Integers
Quickly decode URL-encoded integers.
Convert Signed Integer to Unsigned
Quickly convert a signed integer to an unsigned integer.
Convert Unsigned Integer to Signed
Quickly convert an unsigned integer to a signed integer.
Create Random Integers
Generate a list of random integers.
Check if an Integer is Symmetric
Check if the given integers are palindromes.
Generate an Integer Matrix
Create a matrix whose entries are all integers.
Generate an Integer Vector
Create a vector with integer coefficients.
Find Integer Average
Quickly calculate the average value of integers.
Find Integer Digit Average
Quickly calculate the average value of integer digits.
Pick an Integer Digit
Quickly randomly select a digit from an integer.
Compare Integers
Find which of the given integers is the biggest or smallest.
Clamp Integers
Limit integer values to a range.
Clamp Integer Digits
Limit integer digit values to a range.
Duplicate Integers
Create multiple copies of the input integers.
Duplicate Integer Digits
Create multiple copies of digits of input integers.
Rotate Integers
Rotate the digits of an integer to the left or right.
Shift Integer Digits
Move the digits of an integer to the left or right.
Subtract Integers
Quickly find the difference of a bunch of integers.
AND Integers
Quickly apply the bitwise AND operation to integers.
OR Integers
Quickly apply the bitwise OR operation to integers.
XOR Integers
Quickly apply the bitwise XOR operation to integers.
NOT Integers
Quickly apply the bitwise NOT operation to integers.
NAND Integers
Quickly apply the bitwise NAND operation to integers.
NOR Integers
Quickly apply the bitwise NOR operation to integers.
XNOR Integers
Quickly apply the bitwise NXOR operation to integers.
Divide Integers
Quickly divide two or more integers.
Divide Integer Digits
Quickly divide the digits of an integer.
Convert an Integer to Ordinal
Add -st, -nd, -rd, -th suffixes to integers to make them ordinals.
Convert an Oridinal to Integer
Remove -st, -nd, -rd, -th suffixes from ordinals to make them ints.
Filter Integers
Find integers that match a filter (greater, less, equal).
Right-align Integers
Position all integers so that they align on the right.
Center Integers
Position all integers so that they align in the middle.
Take Absolute Value of Integers
Turn all integers into positive integers.
Make All Integers Negative
Turn all integers into negative integers.
Convert Integers to Fractions
Rewrite an integer in fractional form.
Convert Fractions to Integers
Extract the numerator and denominator from a fraction.
Find and Replace Integers
Search for all occurrences of an integer and replace it.
Generate Regex from Integers
Create a regex that matches the given integers.
Generate Integers from a Regex
Create integers that match the given regular expression.
Generate Small Integers
Create relatively tiny integers.
Generate Big Integers
Create relatively huge integers.
Generate Oscillating Integers
Create a sequence of oscillating integers, such as 123212321.
Generate a Multi-integer Sequence
Create multiple integer sequences at once.
Introduce Errors in Integers
Slightly change an integer so it has an error.
Introduce Errors in Integer Digits
Slightly change integer digits so there are errors.
Make Integers Fuzzy
Apply fuzzing to integers and add perturbations.
Make Integers Digits Fuzzy
Apply fuzzing to integer digits and add digit perturbations.
Highlight Integers
Highlight Integer Digits
Add highlighting to certain integer digits.
Color Integers
Add color to integers based on a condition.
Color Integer Digits
Add color to individual digits in the given integers.
Draw an Integer Spiral
Make the digits of an integer go in a spiral shape.
Draw an Integer Circle
Make the digits of an integer go in a circle.
Draw an Integer Diamond
Make the digits of an integer go in a diamond shape.
Draw an Integer Box
Fill a box with certain width and height with digits.
Create 2D Integers
Use ASCII art to convert integers to 2-dimensional drawings.
Create 3D Integers
Use ASCII art to convert integers to 3-dimensional drawings.
Decompose an Integer
Decompose an integer into ones, tens, hundreds, etc.
Print Increasing Integers
Generate an ordered list of increasing integers.
Print Decreasing Integers
Generate an ordered list of decreasing integers.
Print Integer Information
Quickly find various information about the given integers.
Find Patterns in Integers
Find hidden patterns of numbers in integers.
Calculate Integer Entropy
Find the Shannon entropy of an integer.