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230121323121032 = 237223713687134213
BaseRepresentation
bin110100010100101101001011…
…101110000100100110001000
31010011210101100200011221101122
4310110231023232010212020
5220130301432204333112
62133232135412134412
766320500624355120
oct6424551356044610
91104711320157348
10230121323121032
11673619a5718982
1221987079607408
139b53469a57335
1440b7d07d35c80
151b90eb5079872
hexd14b4bb84988

230121323121032 has 64 divisors (see below), whose sum is σ = 493377278065920. Its totient is φ = 98571399982848.

The previous prime is 230121323120903. The next prime is 230121323121047.

230121323121032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230121323120992 and 230121323121010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714530758 + ... + 1714664970.

It is an arithmetic number, because the mean of its divisors is an integer number (7709019969780).

Almost surely, 2230121323121032 is an apocalyptic number.

It is an amenable number.

230121323121032 is an abundant number, since it is smaller than the sum of its proper divisors (263255954944888).

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

230121323121032 is a wasteful number, since it uses less digits than its factorization.

230121323121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150150 (or 150146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 230121323121032 in words is "two hundred thirty trillion, one hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 2237 4474 8948 13687 15659 17896 27374 31318 54748 62636 95809 109496 125272 134213 191618 268426 383236 536852 766472 939491 1073704 1878982 3757964 7515928 30617819 61235638 122471276 214324733 244942552 300234481 428649466 600468962 857298932 1200937924 1714597864 1836973331 2101641367 2401875848 3673946662 4203282734 7347893324 8406565468 12858813317 14695786648 16813130936 25717626634 51435253268 102870506536 4109309341447 8218618682894 16437237365788 28765165390129 32874474731576 57530330780258 115060661560516 230121323121032