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113665106313 = 32111837162497
BaseRepresentation
bin110100111011011110…
…1111110000110001001
3101212101111221200001100
41221312331332012021
53330241231400223
6124114513412013
711132504314413
oct1516675760611
9355344850040
10113665106313
1144228a977a0
121a04226a009
13a945924275
145703c7d9b3
152e53c6a043
hex1a76f7e189

113665106313 has 24 divisors (see below), whose sum is σ = 179121267936. Its totient is φ = 68883091200.

The previous prime is 113665106287. The next prime is 113665106329. The reversal of 113665106313 is 313601566311.

113665106313 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 6 + 5 + 10 + 631 + 3 = 666.

It is not a de Polignac number, because 113665106313 - 25 = 113665106281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113665106363) 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, 1787481 + ... + 1849977.

It is an arithmetic number, because the mean of its divisors is an integer number (7463386164).

Almost surely, 2113665106313 is an apocalyptic number.

It is an amenable number.

113665106313 is a deficient number, since it is larger than the sum of its proper divisors (65456161623).

113665106313 is a wasteful number, since it uses less digits than its factorization.

113665106313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80885 (or 80882 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 113665106313 in words is "one hundred thirteen billion, six hundred sixty-five million, one hundred six thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 18371 55113 62497 165339 187491 202081 562473 606243 687467 1818729 2062401 6187203 1148132387 3444397161 10333191483 12629456257 37888368771 113665106313