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112112122011201 = 32138391142101627
BaseRepresentation
bin11001011111011100100011…
…001101010001111001000001
3112200221210222112201221120200
4121133130203031101321001
5104143321111213324301
61034235333044355413
732420555616425634
oct3137344315217101
9480853875657520
10112112122011201
11327a4536133554
12106a80b69a5b69
134a73187859250
141d9838174dc1b
15ce6460c4bc86
hex65f723351e41

112112122011201 has 24 divisors (see below), whose sum is σ = 174604496888640. Its totient is φ = 68909843706336.

The previous prime is 112112122011179. The next prime is 112112122011251. The reversal of 112112122011201 is 102110221211211.

It is a happy number.

112112122011201 is a `hidden beast` number, since 1 + 1 + 211 + 21 + 220 + 11 + 201 = 666.

It is not a de Polignac number, because 112112122011201 - 227 = 112111987793473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112122011251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570952651 + ... + 571148976.

It is an arithmetic number, because the mean of its divisors is an integer number (7275187370360).

Almost surely, 2112112122011201 is an apocalyptic number.

It is an amenable number.

112112122011201 is a deficient number, since it is larger than the sum of its proper divisors (62492374877439).

112112122011201 is a wasteful number, since it uses less digits than its factorization.

112112122011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142102485 (or 1142102482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112122011201 its reverse (102110221211211), we get a palindrome (214222343222412).

The spelling of 112112122011201 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, eleven thousand, two hundred one".

Divisors: 1 3 9 13 39 117 839 2517 7551 10907 32721 98163 1142101627 3426304881 10278914643 14847321151 44541963453 133625890359 958223265053 2874669795159 8624009385477 12456902445689 37370707337067 112112122011201