Repunit Factors

A repunit is an integer that consists of only copies of the digit \(1\). Let \(R_n\) be a repunit with \(n\) digits. Let a ministring be a sequence of digits composed of a nonnegative integer amount of the ' \(0\)' digit followed by a positive integer number of the ' \(1\)' digit. Find the number of divisors of \(R_{20}\) that consist entirely of copies of a single ministring.

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