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Problem 56


Problem 56


Powerful Digit Sum

A googol (10100) is a massive number: one followed by one-hundred zeros; 100100 is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.

Considering natural numbers of the form, ab, where a, b < 100, what is the maximum digital sum?


幂的数字和

一古戈尔(10100)是一个巨大的数字:一后面跟着一百个零。100100则更是无法想像地巨大:一后面跟着两百个零。然而,尽管这两个数如此巨大,各位数字和却都只有1。

若a, b < 100,所有能表示为ab的自然数中,最大的各位数字和是多少?