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10137218 = 2721373109
BaseRepresentation
bin100110101010…
…111010000010
3201002000122112
4212222322002
510043342333
61001135322
7152110400
oct46527202
921060575
1010137218
1157a4273
12348a542
13213c170
1414bc470
15d53948
hex9aae82

10137218 has 48 divisors (see below), whose sum is σ = 19487160. Its totient is φ = 3919104.

The previous prime is 10137199. The next prime is 10137221. The reversal of 10137218 is 81273101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8196769 + 1940449 = 2863^2 + 1393^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10137193 and 10137202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92948 + ... + 93056.

Almost surely, 210137218 is an apocalyptic number.

10137218 is a deficient number, since it is larger than the sum of its proper divisors (9349942).

10137218 is a wasteful number, since it uses less digits than its factorization.

10137218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 10137218 is about 3183.8998099815. The cubic root of 10137218 is about 216.4244198522.

The spelling of 10137218 in words is "ten million, one hundred thirty-seven thousand, two hundred eighteen".

Divisors: 1 2 7 13 14 26 49 73 91 98 109 146 182 218 511 637 763 949 1022 1274 1417 1526 1898 2834 3577 5341 6643 7154 7957 9919 10682 13286 15914 19838 46501 55699 69433 93002 103441 111398 138866 206882 389893 724087 779786 1448174 5068609 10137218