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Double-base palindromes

Problem 36

Published on Friday, 31st January 2003, 06:00 pm; Solved by 46498

The decimal number, 585 = 10010010012 (binary), is palindromic in both bases.

Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.

(Please note that the palindromic number, in either base, may not include leading zeros.)