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13000305 = 358391033
BaseRepresentation
bin110001100101…
…111001110001
3220110111001210
4301211321301
511312002210
61142350333
7215333523
oct61457161
926414053
1013000305
11737a35a
12442b3a9
1329023b6
141a25a13
15121be20
hexc65e71

13000305 has 16 divisors (see below), whose sum is σ = 20845440. Its totient is φ = 6918528.

The previous prime is 13000303. The next prime is 13000307. The reversal of 13000305 is 50300031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13000303) and next prime (13000307).

It is not a de Polignac number, because 13000305 - 21 = 13000303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000301) 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 15 ways as a sum of consecutive naturals, for example, 12069 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (1302840).

Almost surely, 213000305 is an apocalyptic number.

13000305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13000305 is a deficient number, since it is larger than the sum of its proper divisors (7845135).

13000305 is a wasteful number, since it uses less digits than its factorization.

13000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13000305 is about 3605.5935711059. The cubic root of 13000305 is about 235.1353076220.

Adding to 13000305 its reverse (50300031), we get a palindrome (63300336).

The spelling of 13000305 in words is "thirteen million, three hundred five", and thus it is an aban number.

Divisors: 1 3 5 15 839 1033 2517 3099 4195 5165 12585 15495 866687 2600061 4333435 13000305