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13000381 = 29617349
BaseRepresentation
bin110001100101…
…111010111101
3220110111011121
4301211322331
511312003011
61142350541
7215333662
oct61457275
926414147
1013000381
11737a419
12442b451
132902444
141a25a69
15121be71
hexc65ebd

13000381 has 8 divisors (see below), whose sum is σ = 13671000. Its totient is φ = 12344640.

The previous prime is 13000367. The next prime is 13000397. The reversal of 13000381 is 18300031.

It can be written as a sum of positive squares in 4 ways, for example, as 511225 + 12489156 = 715^2 + 3534^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13000381 - 25 = 13000349 is a prime.

It is a super-2 number, since 2×130003812 = 338019812290322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1906 + ... + 5443.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 213000381 is an apocalyptic number.

It is an amenable number.

13000381 is a deficient number, since it is larger than the sum of its proper divisors (670619).

13000381 is an equidigital number, since it uses as much as digits as its factorization.

13000381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13000381 is about 3605.6041102706. The cubic root of 13000381 is about 235.1357658228.

The spelling of 13000381 in words is "thirteen million, three hundred eighty-one", and thus it is an aban number.

Divisors: 1 29 61 1769 7349 213121 448289 13000381