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230003121312 = 25323721584377
BaseRepresentation
bin1101011000110101000…
…0010001110010100000
3210222200022110011111200
43112031100101302200
512232021244340222
6253354553041200
722421456162616
oct3261520216240
9728608404450
10230003121312
11895a8847328
12386ab6b6200
13188c6237bb3
14b1bcadd6b6
155eb24b7eac
hex358d411ca0

230003121312 has 72 divisors (see below), whose sum is σ = 671749012116. Its totient is φ = 74595603456.

The previous prime is 230003121289. The next prime is 230003121317. The reversal of 230003121312 is 213121300032.

230003121312 is a `hidden beast` number, since 2 + 300 + 0 + 31 + 21 + 312 = 666.

230003121312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 229789844496 + 213276816 = 479364^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230003121317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10781533 + ... + 10802844.

Almost surely, 2230003121312 is an apocalyptic number.

It is an amenable number.

230003121312 is an abundant number, since it is smaller than the sum of its proper divisors (441745890804).

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

230003121312 is a wasteful number, since it uses less digits than its factorization.

230003121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21584430 (or 21584419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230003121312 its reverse (213121300032), we get a palindrome (443124421344).

The spelling of 230003121312 in words is "two hundred thirty billion, three million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 21584377 43168754 64753131 86337508 129506262 172675016 194259393 259012524 345350032 388518786 518025048 690700064 777037572 798621949 1036050096 1554075144 1597243898 2072100192 2395865847 3108150288 3194487796 4791731694 6216300576 6388975592 7187597541 9583463388 12777951184 14375195082 19166926776 25555902368 28750390164 38333853552 57500780328 76667707104 115001560656 230003121312