{"status": "success", "data": {"description_md": "Find the sum of the digits of $N$, if $N$ is the number of positive integer divisors of $202^{49999}$ (including itself) that are not divisors of $202^{49998}$.  \n  \n$\\textbf{(A)}~1\\qquad\\textbf{(B)}~44\\qquad\\textbf{(C)}~45\\qquad\\textbf{(D)}~40\\qquad\\textbf{(E)}~5$", "description_html": "<p>Find the sum of the digits of <span class=\"katex--inline\">N</span>, if <span class=\"katex--inline\">N</span> is the number of positive integer divisors of <span class=\"katex--inline\">202^{49999}</span> (including itself) that are not divisors of <span class=\"katex--inline\">202^{49998}</span>.</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~1\\qquad\\textbf{(B)}~44\\qquad\\textbf{(C)}~45\\qquad\\textbf{(D)}~40\\qquad\\textbf{(E)}~5</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2024 Mock AMC 10 - Problem 12", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}