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3105013257 = 3438539949
BaseRepresentation
bin1011100100010010…
…1011111000001001
322000101122000110000
42321010223320021
522324340411012
61232035113213
7136642114533
oct27104537011
98011560400
103105013257
111353776465
12727a42809
133a6391b68
14216540853
151328d8ddc
hexb912be09

3105013257 has 20 divisors (see below), whose sum is σ = 4640023300. Its totient is φ = 2069263584.

The previous prime is 3105013207. The next prime is 3105013279. The reversal of 3105013257 is 7523105013.

It can be written as a sum of positive squares in 2 ways, for example, as 2406785481 + 698227776 = 49059^2 + 26424^2 .

It is not a de Polignac number, because 3105013257 - 222 = 3100818953 is a prime.

It is a super-2 number, since 2×31050132572 = 19282214652291496098, 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 self number, because there is not a number n which added to its sum of digits gives 3105013257.

It is not an unprimeable number, because it can be changed into a prime (3105013207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 307119 + ... + 317067.

It is an arithmetic number, because the mean of its divisors is an integer number (232001165).

Almost surely, 23105013257 is an apocalyptic number.

It is an amenable number.

3105013257 is a deficient number, since it is larger than the sum of its proper divisors (1535010043).

3105013257 is an equidigital number, since it uses as much as digits as its factorization.

3105013257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 3105013257 is about 55722.6458183744. The cubic root of 3105013257 is about 1458.8853155910.

The spelling of 3105013257 in words is "three billion, one hundred five million, thirteen thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 81 3853 9949 11559 29847 34677 89541 104031 268623 312093 805869 38333497 115000491 345001473 1035004419 3105013257