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# For positive integers $n$, let $f(n)$ return the smallest positive integer $k$ such that $\frac{1}{k}$ has exactly $n$ digits after the deci

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For positive integers n, let f(n) return the smallest positive integer k such that 1/k has exactly n digits after the decimal point. How many positive integer divisors does f(2010) have?

Jan 11, 2021

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The same problem was posted before! :) I don't exactly have a really good answer to this question, but I found one made by Guest, and he/she answered it really well, here's the link: https://web2.0calc.com/questions/number-theory_9.

Jan 11, 2021
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Thanks, but that answer is incorrect.

Jan 21, 2021