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13027931 = 72922213
BaseRepresentation
bin110001101100…
…101001011011
3220111212221222
4301230221123
511313343211
61143122255
7215510210
oct61545133
926455858
1013027931
117399094
12444338b
132911b47
141a31b07
1512251db
hexc6ca5b

13027931 has 12 divisors (see below), whose sum is σ = 15427152. Its totient is φ = 10776864.

The previous prime is 13027897. The next prime is 13027943. The reversal of 13027931 is 13972031.

It is not a de Polignac number, because 13027931 - 218 = 12765787 is a prime.

It is a super-2 number, since 2×130279312 = 339453972281522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13027931.

It is not an unprimeable number, because it can be changed into a prime (13027951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4781 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (1285596).

Almost surely, 213027931 is an apocalyptic number.

13027931 is a deficient number, since it is larger than the sum of its proper divisors (2399221).

13027931 is an equidigital number, since it uses as much as digits as its factorization.

13027931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 13027931 is about 3609.4225299901. The cubic root of 13027931 is about 235.3017460799.

Adding to 13027931 its reverse (13972031), we get a palindrome (26999962).

The spelling of 13027931 in words is "thirteen million, twenty-seven thousand, nine hundred thirty-one".

Divisors: 1 7 29 203 841 2213 5887 15491 64177 449239 1861133 13027931