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230012262210032 = 2431619749167043
BaseRepresentation
bin110100010011000111100111…
…001011101101100111110000
31010011101221212000211121221122
4310103013213023231213300
5220122010103111210112
62133110101410241412
766306560165045351
oct6423074713554760
91104357760747848
10230012262210032
116731a71a679285
1221969b01286268
139b460a8c8bac3
1440b291d765d28
151b8d230630872
hexd131e72ed9f0

230012262210032 has 40 divisors (see below), whose sum is σ = 460767698741760. Its totient is φ = 111116455669440.

The previous prime is 230012262210007. The next prime is 230012262210037.

230012262210032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230012262209983 and 230012262210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230012262210037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374276498 + ... + 374890545.

It is an arithmetic number, because the mean of its divisors is an integer number (11519192468544).

Almost surely, 2230012262210032 is an apocalyptic number.

It is an amenable number.

230012262210032 is an abundant number, since it is smaller than the sum of its proper divisors (230755436531728).

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

230012262210032 is a wasteful number, since it uses less digits than its factorization.

230012262210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749167701 (or 749167695 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 230012262210032 in words is "two hundred thirty trillion, twelve billion, two hundred sixty-two million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 619 1238 2476 4952 9904 19189 38378 76756 153512 307024 749167043 1498334086 2996668172 5993336344 11986672688 23224178333 46448356666 92896713332 185793426664 371586853328 463734399617 927468799234 1854937598468 3709875196936 7419750393872 14375766388127 28751532776254 57503065552508 115006131105016 230012262210032