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13141931 = 112313347
BaseRepresentation
bin110010001000…
…011110101011
3220201200100012
4302020132223
511331020211
61145402135
7216463445
oct62103653
926650305
1013141931
117466800
12449934b
1329519ba
141a61495
151248d8b
hexc887ab

13141931 has 12 divisors (see below), whose sum is σ = 14533176. Its totient is φ = 11874720.

The previous prime is 13141907. The next prime is 13141937. The reversal of 13141931 is 13914131.

13141931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13141931 is a prime.

It is a super-2 number, since 2×131419312 = 345420700817522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13141897 and 13141906.

It is not an unprimeable number, because it can be changed into a prime (13141937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37700 + ... + 38046.

It is an arithmetic number, because the mean of its divisors is an integer number (1211098).

Almost surely, 213141931 is an apocalyptic number.

13141931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13141931 is a deficient number, since it is larger than the sum of its proper divisors (1391245).

13141931 is a wasteful number, since it uses less digits than its factorization.

13141931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its digits is 324, while the sum is 23.

The square root of 13141931 is about 3625.1801334554. The cubic root of 13141931 is about 235.9860843562.

The spelling of 13141931 in words is "thirteen million, one hundred forty-one thousand, nine hundred thirty-one".

Divisors: 1 11 121 313 347 3443 3817 37873 41987 108611 1194721 13141931