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18601133031 = 3313149355669
BaseRepresentation
bin10001010100101101…
…101100001111100111
31210000100022110112000
4101110231230033213
5301043342224111
612313434500343
71225645010355
oct212455541747
953010273460
1018601133031
117985944618
1237315946b3
1319a5934ac0
14c865ca7d5
1573d04bc56
hex454b6c3e7

18601133031 has 32 divisors (see below), whose sum is σ = 29876280000. Its totient is φ = 11369994624.

The previous prime is 18601132997. The next prime is 18601133051. The reversal of 18601133031 is 13033110681.

18601133031 is a `hidden beast` number, since 18 + 601 + 13 + 3 + 0 + 31 = 666.

It is not a de Polignac number, because 18601133031 - 210 = 18601132007 is a prime.

It is a super-2 number, since 2×186011330312 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18601132986 and 18601133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18601133051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125536 + ... + 230133.

It is an arithmetic number, because the mean of its divisors is an integer number (933633750).

Almost surely, 218601133031 is an apocalyptic number.

18601133031 is a deficient number, since it is larger than the sum of its proper divisors (11275146969).

18601133031 is a wasteful number, since it uses less digits than its factorization.

18601133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355840 (or 355834 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 18601133031 in words is "eighteen billion, six hundred one million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 149 351 447 1341 1937 4023 5811 17433 52299 355669 1067007 3201021 4623697 9603063 13871091 41613273 52994681 124839819 158984043 476952129 688930853 1430856387 2066792559 6200377677 18601133031