Another Remainder Question

Number Theory Level 3

1+12+13+⋯+113 1 + \dfrac12 + \dfrac13 + \cdots + \dfrac1{13}

If the value of the expression above can be expressed as x13! \dfrac{x}{13!} , what is the remainder when xx is divided by 11?

Ravi Dwivedi by Ravi Dwivedi
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