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113680377900 = 223252126311531
BaseRepresentation
bin110100111011111100…
…0001110100000101100
3101212102120200112201200
41221313320032200230
53330304134043100
6124120221005500
711133051161115
oct1516770164054
9355376615650
10113680377900
1144236678541
121a0473b3890
13a948b403cb
145705cd720c
152e55284e00
hex1a77e0e82c

113680377900 has 54 divisors (see below), whose sum is σ = 356324831772. Its totient is φ = 30314767200.

The previous prime is 113680377887. The next prime is 113680377907. The reversal of 113680377900 is 9773086311.

113680377900 is a `hidden beast` number, since 113 + 6 + 80 + 377 + 90 + 0 = 666.

113680377900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113680377907) 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 17 ways as a sum of consecutive naturals, for example, 63154866 + ... + 63156665.

Almost surely, 2113680377900 is an apocalyptic number.

113680377900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113680377900 is an abundant number, since it is smaller than the sum of its proper divisors (242644453872).

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

113680377900 is a wasteful number, since it uses less digits than its factorization.

113680377900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126311551 (or 126311541 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 113680377900 in words is "one hundred thirteen billion, six hundred eighty million, three hundred seventy-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 126311531 252623062 378934593 505246124 631557655 757869186 1136803779 1263115310 1515738372 1894672965 2273607558 2526230620 3157788275 3789345930 4547215116 5684018895 6315576550 7578691860 9473364825 11368037790 12631153100 18946729650 22736075580 28420094475 37893459300 56840188950 113680377900