{"status": "success", "data": {"description_md": "Let $N=34\\cdot34\\cdot63\\cdot270.$ What is the ratio of the sum of the odd divisors of $N$ to the sum of the even divisors of $N?$\n\n$\\textbf{(A) }1:16 \\qquad \\textbf{(B) }1:15 \\qquad \\textbf{(C) }1:14 \\qquad \\textbf{(D) }1:8 \\qquad \\textbf{(E) }1:3$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Let  <span class=\"katex--inline\">N=34\\cdot34\\cdot63\\cdot270.</span>  What is the ratio of the sum of the odd divisors of  <span class=\"katex--inline\">N</span>  to the sum of the even divisors of  <span class=\"katex--inline\">N?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }1:16 \\qquad \\textbf{(B) }1:15 \\qquad \\textbf{(C) }1:14 \\qquad \\textbf{(D) }1:8 \\qquad \\textbf{(E) }1:3</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2021 AMC 12B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12B_p08", "prev": "/problem/21_amc12B_p06"}}