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112021201012100 = 225229101382455449
BaseRepresentation
bin11001011110000111110111…
…111001001100010110000100
3112200122010022002211122012112
4121132013313321030112010
5104140323404424341400
61034125455044040152
732411156534613542
oct3136076771142604
9480563262748175
10112021201012100
1132769a19648186
1210692561693058
134a67727c9a4b3
141d93bd83cad92
15ce3dddae6835
hex65e1f7e4c584

112021201012100 has 72 divisors (see below), whose sum is σ = 253958067909000. Its totient is φ = 42835010176000.

The previous prime is 112021201012037. The next prime is 112021201012159. The reversal of 112021201012100 is 1210102120211.

It can be written as a sum of positive squares in 12 ways, for example, as 18606385774144 + 93414815237956 = 4313512^2 + 9665134^2 .

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, 190934825 + ... + 191520624.

It is an arithmetic number, because the mean of its divisors is an integer number (3527195387625).

Almost surely, 2112021201012100 is an apocalyptic number.

112021201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112021201012100 is an abundant number, since it is smaller than the sum of its proper divisors (141936866896900).

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

112021201012100 is a wasteful number, since it uses less digits than its factorization.

112021201012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382455593 (or 382455586 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112021201012100 its reverse (1210102120211), we get a palindrome (113231303132311).

The spelling of 112021201012100 in words is "one hundred twelve trillion, twenty-one billion, two hundred one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 116 145 202 290 404 505 580 725 1010 1450 2020 2525 2900 2929 5050 5858 10100 11716 14645 29290 58580 73225 146450 292900 382455449 764910898 1529821796 1912277245 3824554490 7649108980 9561386225 11091208021 19122772450 22182416042 38245544900 38628000349 44364832084 55456040105 77256000698 110912080210 154512001396 193140001745 221824160420 277280200525 386280003490 554560401050 772560006980 965700008725 1109120802100 1120212010121 1931400017450 2240424020242 3862800034900 4480848040484 5601060050605 11202120101210 22404240202420 28005300253025 56010600506050 112021201012100