For a positive number n, define S(n) as the sum of the integers x, for which 1x
n and
x31 mod n.
When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81.
Thus, S(91)=9+16+22+29+53+74+79+81=363.
Find S(13082761331670030).
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