What is the smallest positive integer \(n > 1\) for which fewer than \(1 \%\) of the positive integers less than \(n\) are factors of \(n\)?

As an explicit example, there are \(5\) positive integers less than \(6\), and \(3\) of these are factors of \(6\); so \(60 \%\) of the positive integers less than \(6\)are factors of \(6\).

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