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Problem 491


Problem 491


Double pandigital number divisible by 11

We call a positive integer double pandigital if it uses all the digits 0 to 9 exactly twice (with no leading zero). For example, 40561817703823564929 is one such number.

How many double pandigital numbers are divisible by 11?


能被11整除的二重复全数字数

我们称一个正整数是二重复全数字的,如果它使用0~9这十个数字恰好各两次(没有前导0)。例如,40561817703823564929就是一个二重复全数字数。

有多少个能被11整除的二重复全数字数?