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211112100110120 = 23511479800227523
BaseRepresentation
bin110000000000000101011101…
…101111000001111100101000
31000200111010020020102100202012
4300000011131233001330220
5210132330040112010440
62024555320535255052
762316226433644466
oct6000053557017450
91020433206370665
10211112100110120
11612a3158916170
121b816b3321a488
1390a4a2a008b31
143a1bc47257836
15196179bdcae65
hexc0015dbc1f28

211112100110120 has 32 divisors (see below), whose sum is σ = 518184245725920. Its totient is φ = 76768036403520.

The previous prime is 211112100110077. The next prime is 211112100110161. The reversal of 211112100110120 is 21011001211112.

It is a super-2 number, since 2×2111121001101202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211112100110095 and 211112100110104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239900113322 + ... + 239900114201.

It is an arithmetic number, because the mean of its divisors is an integer number (16193257678935).

Almost surely, 2211112100110120 is an apocalyptic number.

211112100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112100110120 is an abundant number, since it is smaller than the sum of its proper divisors (307072145615800).

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

211112100110120 is a wasteful number, since it uses less digits than its factorization.

211112100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479800227545 (or 479800227541 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211112100110120 its reverse (21011001211112), we get a palindrome (232123101321232).

The spelling of 211112100110120 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479800227523 959600455046 1919200910092 2399001137615 3838401820184 4798002275230 5277802502753 9596004550460 10555605005506 19192009100920 21111210011012 26389012513765 42222420022024 52778025027530 105556050055060 211112100110120