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30513665241 = 3217891895141
BaseRepresentation
bin11100011010110000…
…011001010011011001
32220202112211210121200
4130122300121103121
5444442444241431
622003501424413
72130104606103
oct343260312331
986675753550
1030513665241
1111a39194364
125ab6b6b109
132b53923127
14169675a573
15bd8c90ee6
hex71ac194d9

30513665241 has 12 divisors (see below), whose sum is σ = 44099954340. Its totient is φ = 20331061920.

The previous prime is 30513665227. The next prime is 30513665251. The reversal of 30513665241 is 14256631503.

30513665241 is a `hidden beast` number, since 3 + 0 + 51 + 366 + 5 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14011693641 + 16501971600 = 118371^2 + 128460^2 .

It is not a de Polignac number, because 30513665241 - 25 = 30513665209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30513665196 and 30513665205.

It is not an unprimeable number, because it can be changed into a prime (30513665251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931470 + ... + 963671.

It is an arithmetic number, because the mean of its divisors is an integer number (3674996195).

Almost surely, 230513665241 is an apocalyptic number.

It is an amenable number.

30513665241 is a deficient number, since it is larger than the sum of its proper divisors (13586289099).

30513665241 is a wasteful number, since it uses less digits than its factorization.

30513665241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896936 (or 1896933 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 30513665241 in words is "thirty billion, five hundred thirteen million, six hundred sixty-five thousand, two hundred forty-one".

Divisors: 1 3 9 1789 5367 16101 1895141 5685423 17056269 3390407249 10171221747 30513665241