{"status": "success", "data": {"description_md": "Let $N = 34 \\cdot 34 \\cdot 63 \\cdot 270$. What is the ratio of the sum of the odd divisors of $N$ to the sum of the even divisors of $N$?\n\n$\\textbf{(A)} ~1 : 16 \\qquad\\textbf{(B)} ~1 : 15 \\qquad\\textbf{(C)} ~1 : 14 \\qquad\\textbf{(D)} ~1 : 8 \\qquad\\textbf{(E)} ~1 : 3$", "description_html": "<p>Let  <span class=\"katex--inline\">N = 34 \\cdot 34 \\cdot 63 \\cdot 270</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>\n<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>\n<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": 3, "problem_name": "2021 AMC 10B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10B_p13", "prev": "/problem/21_amc10B_p11"}}