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PUZZLET 191

Contiguous Digit Sum Palindromes

The CDS (contiguous digit sum) of any integer is the sum of all the smaller integers that can be formed from it, using only contiguous digits. Thus, CDS(21612) is 4884, the sum of 2,21,216,2161,1,16,161,1612,6,61,612, 1,12,2.

Remarkably, both 21612 and its CDS are both palindromic numbers.

Find all other 5-digit integers which are palindromes and whose CDS's are also palindromic.



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Last Updated: January 17th, 2010.