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13718313 = 3274147113
BaseRepresentation
bin110100010101…
…001100101001
3221210221222200
4310111030221
512002441223
61210010413
7224414040
oct64251451
927727880
1013718313
11781a854
124716a09
132ac415b
141b71557
15130ea43
hexd15329

13718313 has 48 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 7418880.

The previous prime is 13718293. The next prime is 13718321. The reversal of 13718313 is 31381731.

It is not a de Polignac number, because 13718313 - 210 = 13717289 is a prime.

It is a super-2 number, since 2×137183132 = 376384223131938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13714313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 121345 + ... + 121457.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 213718313 is an apocalyptic number.

It is an amenable number.

13718313 is a deficient number, since it is larger than the sum of its proper divisors (10183383).

13718313 is a wasteful number, since it uses less digits than its factorization.

13718313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13718313 is about 3703.8241048948. The cubic root of 13718313 is about 239.3868201277.

The spelling of 13718313 in words is "thirteen million, seven hundred eighteen thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 41 47 63 113 123 141 287 329 339 369 423 791 861 987 1017 1927 2373 2583 2961 4633 5311 5781 7119 13489 13899 15933 17343 32431 37177 40467 41697 47799 97293 111531 121401 217751 291879 334593 653253 1524257 1959759 4572771 13718313