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13106313 = 331144129
BaseRepresentation
bin110001111111…
…110010001001
3220122212111000
4301333302021
511323400223
61144525213
7216254553
oct61776211
926585430
1013106313
117441a70
124480809
13293b71c
141a524d3
15123d543
hexc7fc89

13106313 has 16 divisors (see below), whose sum is σ = 21182400. Its totient is φ = 7943040.

The previous prime is 13106293. The next prime is 13106329. The reversal of 13106313 is 31360131.

13106313 is a `hidden beast` number, since 1 + 31 + 0 + 631 + 3 = 666.

It is not a de Polignac number, because 13106313 - 212 = 13102217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13106383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21768 + ... + 22361.

It is an arithmetic number, because the mean of its divisors is an integer number (1323900).

Almost surely, 213106313 is an apocalyptic number.

It is an amenable number.

13106313 is a deficient number, since it is larger than the sum of its proper divisors (8076087).

13106313 is a wasteful number, since it uses less digits than its factorization.

13106313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44149 (or 44143 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13106313 is about 3620.2642168770. The cubic root of 13106313 is about 235.7726972124.

Adding to 13106313 its reverse (31360131), we get a palindrome (44466444).

The spelling of 13106313 in words is "thirteen million, one hundred six thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 44129 132387 397161 485419 1191483 1456257 4368771 13106313