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230132142312 = 23389107739767
BaseRepresentation
bin1101011001010011110…
…0011101000011101000
3211000000022020010001020
43112110330131003220
512232302312023222
6253415442252440
722424613635262
oct3262474350350
9730008203036
10230132142312
118966465a756
1238726957120
1318916b9cb97
14b1d1cc6b32
155ebd9a165c
hex3594f1d0e8

230132142312 has 32 divisors (see below), whose sum is σ = 581794747200. Its totient is φ = 75848795264.

The previous prime is 230132142299. The next prime is 230132142313. The reversal of 230132142312 is 213241231032.

230132142312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301321423122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230132142313) 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 7 ways as a sum of consecutive naturals, for example, 53867748 + ... + 53872019.

It is an arithmetic number, because the mean of its divisors is an integer number (18181085850).

Almost surely, 2230132142312 is an apocalyptic number.

It is an amenable number.

230132142312 is an abundant number, since it is smaller than the sum of its proper divisors (351662604888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230132142312 is a wasteful number, since it uses less digits than its factorization.

230132142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107739865 (or 107739861 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230132142312 its reverse (213241231032), we get a palindrome (443373373344).

The spelling of 230132142312 in words is "two hundred thirty billion, one hundred thirty-two million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 1068 2136 107739767 215479534 323219301 430959068 646438602 861918136 1292877204 2585754408 9588839263 19177678526 28766517789 38355357052 57533035578 76710714104 115066071156 230132142312