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241222352241096 = 2332131922431132429
BaseRepresentation
bin110110110110001111110100…
…100111100000000111001000
31011122002122001110221200021200
4312312033310213200013020
5223104141334133203341
62213012004020304200
7101544511522113132
oct6666176447400710
91148078043850250
10241222352241096
116a951909206036
122307a611842060
13a47a229c525b5
14437d31d09a052
151cd4b30ea2db6
hexdb63f49e01c8

241222352241096 has 96 divisors (see below), whose sum is σ = 654097909608000. Its totient is φ = 80310597916032.

The previous prime is 241222352241083. The next prime is 241222352241151. The reversal of 241222352241096 is 690142253222142.

241222352241096 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 23 + 522 + 4 + 10 + 96 = 666.

241222352241096 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 2×2412223522410962 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212447010 + ... + 213579438.

It is an arithmetic number, because the mean of its divisors is an integer number (6813519891750).

Almost surely, 2241222352241096 is an apocalyptic number.

It is an amenable number.

241222352241096 is an abundant number, since it is smaller than the sum of its proper divisors (412875557366904).

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

241222352241096 is a wasteful number, since it uses less digits than its factorization.

241222352241096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136003 (or 1135996 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 241222352241096 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred forty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1319 2243 2638 3957 4486 5276 6729 7914 8972 10552 11871 13458 15828 17944 20187 23742 26916 31656 40374 47484 53832 80748 94968 161496 1132429 2264858 2958517 3397287 4529716 5917034 6794574 8875551 9059432 10191861 11834068 13589148 17751102 20383722 23668136 26626653 27178296 35502204 40767444 53253306 71004408 81534888 106506612 213013224 1493673851 2540038247 2987347702 4481021553 5080076494 5974695404 7620114741 8962043106 10160152988 11949390808 13443064659 15240229482 17924086212 20320305976 22860344223 26886129318 30480458964 35848172424 45720688446 53772258636 60960917928 91441376892 107544517272 182882753784 3350310447793 6700620895586 10050931343379 13401241791172 20101862686758 26802483582344 30152794030137 40203725373516 60305588060274 80407450747032 120611176120548 241222352241096