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{
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"question": {
"questionId": "3918",
"questionFrontendId": "3622",
"categoryTitle": "Algorithms",
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"title": "Check Divisibility by Digit Sum and Product",
"titleSlug": "check-divisibility-by-digit-sum-and-product",
"content": "<p>You are given a positive integer <code>n</code>. Determine whether <code>n</code> is divisible by the <strong>sum </strong>of the following two values:</p>\n\n<ul>\n\t<li>\n\t<p>The <strong>digit sum</strong> of <code>n</code> (the sum of its digits).</p>\n\t</li>\n\t<li>\n\t<p>The <strong>digit</strong> <strong>product</strong> of <code>n</code> (the product of its digits).</p>\n\t</li>\n</ul>\n\n<p>Return <code>true</code> if <code>n</code> is divisible by this sum; otherwise, return <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 99</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Since 99 is divisible by the sum (9 + 9 = 18) plus product (9 * 9 = 81) of its digits (total 99), the output is true.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 23</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Since 23 is not divisible by the sum (2 + 3 = 5) plus product (2 * 3 = 6) of its digits (total 11), the output is false.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "判断整除性",
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