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230132362131 = 32721607332467
BaseRepresentation
bin1101011001010011110…
…1010010101110010011
3211000000022122021120200
43112110331102232103
512232302341042011
6253415451110243
722424615542200
oct3262475225623
9730008567520
10230132362131
118966479a921
1238726a42383
1318916c48c59
14b1d1d42ca7
155ebd9e6856
hex3594f52b93

230132362131 has 36 divisors (see below), whose sum is σ = 386720958312. Its totient is φ = 131491975104.

The previous prime is 230132362123. The next prime is 230132362133. The reversal of 230132362131 is 131263231032.

230132362131 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 2 + 3 + 621 + 31 = 666.

It is not a de Polignac number, because 230132362131 - 23 = 230132362123 is a prime.

It is a super-2 number, since 2×2301323621312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230132362095 and 230132362104.

It is not an unprimeable number, because it can be changed into a prime (230132362133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7071960 + ... + 7104426.

It is an arithmetic number, because the mean of its divisors is an integer number (10742248842).

Almost surely, 2230132362131 is an apocalyptic number.

230132362131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230132362131 is a deficient number, since it is larger than the sum of its proper divisors (156588596181).

230132362131 is a wasteful number, since it uses less digits than its factorization.

230132362131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48560 (or 48550 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230132362131 its reverse (131263231032), we get a palindrome (361395593163).

The spelling of 230132362131 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred sixty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 16073 32467 48219 97401 112511 144657 227269 292203 337533 681807 787577 1012599 1590883 2045421 2362731 4772649 7088193 14317947 521842091 1565526273 3652894637 4696578819 10958683911 25570262459 32876051733 76710787377 230132362131