---
id: 5900f4e51000cf542c50fff8
title: 'Problem 377: Sum of digits, experience 13'
challengeType: 5
forumTopicId: 302039
dashedName: problem-377-sum-of-digits-experience-13
---

# --description--

There are 16 positive integers that do not have a zero in their digits and that have a digital sum equal to 5, namely:

5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111 and 11111.

Their sum is 17891.

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 $n$.

Find $\displaystyle\sum_{i=1}^{17} f(13^i)$. Give the last 9 digits as your answer.

# --hints--

`experience13()` should return `732385277`.

```js
assert.strictEqual(experience13(), 732385277);
```

# --seed--

## --seed-contents--

```js
function experience13() {

  return true;
}

experience13();
```

# --solutions--

```js
// solution required
```