id	title	challengeType	forumTopicId	dashedName
5900f49b1000cf542c50ffae	Problem 303: Multiples with small digits	5	301957	problem-303-multiples-with-small-digits

--description--

For a positive integer n, define f(n) as the least positive multiple of n that, written in base 10, uses only digits ≤ 2.

Thus f(2) = 2, f(3) = 12, f(7) = 21, f(42) = 210, f(89) = 1\\,121\\,222.

Also, \displaystyle\sum_{n = 1}^{100} \frac{f(n)}{n} = 11\\,363\\,107.

Find \displaystyle\sum_{n = 1}^{10\\,000} \frac{f(n)}{n}.

--hints--

multiplesWithSmallDigits() should return 1111981904675169.

assert.strictEqual(multiplesWithSmallDigits(), 1111981904675169);

function multiplesWithSmallDigits() {

  return true;
}

multiplesWithSmallDigits();

// solution required