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13396131 = 33770879
BaseRepresentation
bin110011000110…
…100010100011
3221012121001000
4303012202203
511412134011
61155043043
7221602530
oct63064243
927177030
1013396131
11761a791
1245a0483
132a10608
141ac9d87
151299356
hexcc68a3

13396131 has 16 divisors (see below), whose sum is σ = 22681600. Its totient is φ = 7654824.

The previous prime is 13396129. The next prime is 13396133. The reversal of 13396131 is 13169331.

13396131 is a `hidden beast` number, since 13 + 39 + 613 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13396129) and next prime (13396133).

It is not a de Polignac number, because 13396131 - 21 = 13396129 is a prime.

It is a super-2 number, since 2×133961312 = 358912651538322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13396095 and 13396104.

It is not an unprimeable number, because it can be changed into a prime (13396133) 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 15 ways as a sum of consecutive naturals, for example, 35251 + ... + 35628.

It is an arithmetic number, because the mean of its divisors is an integer number (1417600).

Almost surely, 213396131 is an apocalyptic number.

13396131 is a deficient number, since it is larger than the sum of its proper divisors (9285469).

13396131 is an equidigital number, since it uses as much as digits as its factorization.

13396131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70895 (or 70889 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 13396131 is about 3660.0725402647. The cubic root of 13396131 is about 237.4979117083.

The spelling of 13396131 in words is "thirteen million, three hundred ninety-six thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 70879 212637 496153 637911 1488459 1913733 4465377 13396131