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112013626155201 = 363919872
BaseRepresentation
bin11001011110000000110100…
…011001011010000011000001
3112200121101202012102001000000
4121132000310121122003001
5104140212401243431301
61034122203252350213
732410501035444621
oct3136006431320301
9480541665361000
10112013626155201
1132766791859071
1210690ba8915369
134a66abb860054
141d936ba390881
15ce3ae8ac9786
hex65e03465a0c1

112013626155201 has 21 divisors (see below), whose sum is σ = 167944040771601. Its totient is φ = 74675560264452.

The previous prime is 112013626155199. The next prime is 112013626155209. The reversal of 112013626155201 is 102551626310211.

The square root of 112013626155201 is 10583649.

It is a perfect power (a square), and thus also a powerful number.

112013626155201 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 3 + 626 + 1 + 5 + 5 + 20 + 1 = 666.

It is not a de Polignac number, because 112013626155201 - 21 = 112013626155199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112013626155209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 285562530 + ... + 285954516.

Almost surely, 2112013626155201 is an apocalyptic number.

112013626155201 is the 10583649-th square number.

112013626155201 is the 5291825-th centered octagonal number.

It is an amenable number.

112013626155201 is a deficient number, since it is larger than the sum of its proper divisors (55930414616400).

112013626155201 is an frugal number, since it uses more digits than its factorization.

112013626155201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783992 (or 391990 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 112013626155201 in words is "one hundred twelve trillion, thirteen billion, six hundred twenty-six million, one hundred fifty-five thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 391987 1175961 3527883 10583649 31750947 95252841 285758523 153653808169 460961424507 1382884273521 4148652820563 12445958461689 37337875385067 112013626155201