# Base Time

Number Theory Level pending

$\large 1070_p + 370_p + 721_p + 61_p + 50_p = 603_p + 416_p + 405_p + 503_p + 9_p$

If $$p$$ is an integer such that the numbers in the equation above are written in base $$p$$, find the total number of solutions of $$p$$.

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