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232010024123412 = 223229787728212749
BaseRepresentation
bin110100110000001100001011…
…000100100111110000010100
31010102110221102111022220020200
4310300030023010213300110
5220402223012133422122
62141235533401300500
766604112453115513
oct6460141304476024
91112427374286220
10232010024123412
1167a1a9981464a7
122203111b794730
139c5c5b3947b62
1441414b8ca267a
151bc51a6dbb5ac
hexd3030b127c14

232010024123412 has 72 divisors (see below), whose sum is σ = 606769921485000. Its totient is φ = 74660410691328.

The previous prime is 232010024123321. The next prime is 232010024123431. The reversal of 232010024123412 is 214321420010232.

232010024123412 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 1 + 0 + 0 + 241 + 2 + 3 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1155913117956 + 230854111005456 = 1075134^2 + 15193884^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5882787 + ... + 22329962.

It is an arithmetic number, because the mean of its divisors is an integer number (8427360020625).

Almost surely, 2232010024123412 is an apocalyptic number.

It is an amenable number.

232010024123412 is an abundant number, since it is smaller than the sum of its proper divisors (374759897361588).

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

232010024123412 is a wasteful number, since it uses less digits than its factorization.

232010024123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28220665 (or 28220660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 232010024123412 its reverse (214321420010232), we get a palindrome (446331444133644).

The spelling of 232010024123412 in words is "two hundred thirty-two trillion, ten billion, twenty-four million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 7877 15754 23631 31508 47262 70893 94524 141786 228433 283572 456866 685299 913732 1370598 2055897 2741196 4111794 8223588 28212749 56425498 84638247 112850996 169276494 253914741 338552988 507829482 818169721 1015658964 1636339442 2454509163 3272678884 4909018326 7363527489 9818036652 14727054978 29454109956 222231823873 444463647746 666695471619 888927295492 1333390943238 2000086414857 2666781886476 4000172829714 6444722892317 8000345659428 12889445784634 19334168676951 25778891569268 38668337353902 58002506030853 77336674707804 116005012061706 232010024123412