Question 22
Let $f$ be the unique function defined on the positive integers such that $$
\sum_{d\mid n} d\cdot f\left(\frac{n}{d}\right)=1
$$ for all positive integers $n,$ where the sum is taken over all positive divisors of $n.$ What is $f(2023)?$
\sum_{d\mid n} d\cdot f\left(\frac{n}{d}\right)=1
$$ for all positive integers $n,$ where the sum is taken over all positive divisors of $n.$ What is $f(2023)?$