# Strange Function

For every $$n$$ let $$d(n)$$ denote the number of positive divisors of $$n$$.

Let $$f:N→N$$ be a function such that

i. $$d(f(x))=x$$ for all natural numbers $$x$$

ii$$.f(xy)$$ divides $$(x-1)y^{xy-1}f(x)$$

Find sum of all possible values of $$f(11)+f(315)$$

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