47 lines
903 B
Markdown
47 lines
903 B
Markdown
---
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id: 5900f4e51000cf542c50fff8
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title: 'Problem 377: Sum of digits, experience 13'
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challengeType: 5
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forumTopicId: 302039
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dashedName: problem-377-sum-of-digits-experience-13
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---
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# --description--
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There are 16 positive integers that do not have a zero in their digits and that have a digital sum equal to 5, namely:
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5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111 and 11111.
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Their sum is 17891.
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Let $f(n)$ be the sum of all positive integers that do not have a zero in their digits and have a digital sum equal to $n$.
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Find $\displaystyle\sum_{i=1}^{17} f(13^i)$. Give the last 9 digits as your answer.
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# --hints--
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`experience13()` should return `732385277`.
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```js
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assert.strictEqual(experience13(), 732385277);
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```
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# --seed--
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## --seed-contents--
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```js
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function experience13() {
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return true;
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}
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experience13();
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```
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# --solutions--
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```js
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// solution required
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```
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