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113112111101133 = 3295768812253739
BaseRepresentation
bin11001101101111111110111…
…001100111011010011001101
3112211111102010111122002021010
4121231333313030323103031
5104311212100420214013
61040322553025155433
732553036362435124
oct3155776714732315
9484442114562233
10113112111101133
113304a638987561
1210829a7518bb79
134b165707a4c11
141dd0926556abb
15d1248b55a7c3
hex66dff733b4cd

113112111101133 has 16 divisors (see below), whose sum is σ = 156017044641600. Its totient is φ = 72807637136640.

The previous prime is 113112111101123. The next prime is 113112111101147. The reversal of 113112111101133 is 331101111211311.

It is not a de Polignac number, because 113112111101133 - 225 = 113112077546701 is a prime.

It is a super-3 number, since 3×1131121111011333 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113112111101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49061778 + ... + 51315516.

It is an arithmetic number, because the mean of its divisors is an integer number (9751065290100).

Almost surely, 2113112111101133 is an apocalyptic number.

It is an amenable number.

113112111101133 is a deficient number, since it is larger than the sum of its proper divisors (42904933540467).

113112111101133 is a wasteful number, since it uses less digits than its factorization.

113112111101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830652.

The product of its (nonzero) digits is 54, while the sum is 21.

Adding to 113112111101133 its reverse (331101111211311), we get a palindrome (444213222312444).

The spelling of 113112111101133 in words is "one hundred thirteen trillion, one hundred twelve billion, one hundred eleven million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 3 29 87 576881 1730643 2253739 6761217 16729549 50188647 65358431 196075293 1300139208059 3900417624177 37704037033711 113112111101133