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113166352116 = 223229108396889
BaseRepresentation
bin110100101100100111…
…1010111111011110100
3101211002202110022220200
41221121033113323310
53323231041231431
6123553215400500
711114240056506
oct1513117277364
9354082408820
10113166352116
1143aa2501344
1219b23223130
13a8964b723c
14569792dd76
152e2509aee6
hex1a593d7ef4

113166352116 has 36 divisors (see below), whose sum is σ = 295923509700. Its totient is φ = 36421354368.

The previous prime is 113166352111. The next prime is 113166352127. The reversal of 113166352116 is 611253661311.

113166352116 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 635 + 2 + 1 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92501139600 + 20665212516 = 304140^2 + 143754^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113166352111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54197401 + ... + 54199488.

Almost surely, 2113166352116 is an apocalyptic number.

It is an amenable number.

113166352116 is an abundant number, since it is smaller than the sum of its proper divisors (182757157584).

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

113166352116 is a wasteful number, since it uses less digits than its factorization.

113166352116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108396928 (or 108396923 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 113166352116 in words is "one hundred thirteen billion, one hundred sixty-six million, three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 108396889 216793778 325190667 433587556 650381334 975572001 1300762668 1951144002 3143509781 3902288004 6287019562 9430529343 12574039124 18861058686 28291588029 37722117372 56583176058 113166352116