id	title	challengeType	forumTopicId	dashedName
5900f4931000cf542c50ffa5	Problem 294: Sum of digits - experience #23	5	301946	problem-294-sum-of-digits---experience-23

--description--

For a positive integer k, define d(k) as the sum of the digits of k in its usual decimal representation.

Thus d(42) = 4+2 = 6.

For a positive integer n, define S(n) as the number of positive integers k < 10n with the following properties : k is divisible by 23 and d(k) = 23.

You are given that S(9) = 263626 and S(42) = 6377168878570056.

Find S(1112) and give your answer mod 109.

--hints--

euler294() should return 789184709.

assert.strictEqual(euler294(), 789184709);

function euler294() {

  return true;
}

euler294();

// solution required