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

euler377() should return 732385277.

assert.strictEqual(euler377(), 732385277);

function euler377() {

  return true;
}

euler377();

// solution required