Problem 36

Double-base Palindromes

The decimal number, $585 = 1001001001_{2}$ (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.)

十进制数 $585 = 1001001001_{2}$ （二进制表示），因此它在这两种进制下都是回文数。

找出所有小于一百万，且在十进制和二进制下均回文的数，并求它们的和。

（请注意，无论在哪种进制下，回文数均不考虑前导零。）