Answer to Question #36923 in Combinatorics | Number Theory for Quamrul

Question

If a number remains unchanged when reversed, it is called a palindrome. 33, 23432, 191
are examples of palindromes. What is the smallest palindrome greater than 2012 ?

Answer 1

Every hundred (20xx, 21xx, 22xx,...) has only one palindrome. As the 20xx's palindrome is smaller then 2012 (2002<2012), we should seek the palindrome in 21xx. And it is 2112.