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.)
双进制回文数
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。)