# palindromic number

An integer $n$ that in a given base $b$ is a palindrome. Given $n$ being $k$ digits $d_{x}$ long in base $b$, its value being

 $n=\sum_{i=0}^{k-1}d_{k}b^{i}$

then if the equalities $d_{k}=d_{1}$, $d_{k-1}=d_{2}$, etc., hold, then $n$ is a . There are infinitely many palindromic numbers in any given base.

Title palindromic number PalindromicNumber 2013-03-22 15:55:27 2013-03-22 15:55:27 CompositeFan (12809) CompositeFan (12809) 4 CompositeFan (12809) Definition msc 11A63