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23102220132 = 2232827377569
BaseRepresentation
bin10101100000111111…
…111110011101100100
32012122000220101020200
4111200333332131210
5334303132021012
614340224430500
71445331426315
oct254077763544
965560811220
1023102220132
119885667a12
124588a78430
1322422cc354
1411922da60c
159032a23dc
hex560ffe764

23102220132 has 36 divisors (see below), whose sum is σ = 58405090380. Its totient is φ = 7699709952.

The previous prime is 23102219999. The next prime is 23102220161.

23102220132 is a `hidden beast` number, since 2 + 310 + 2 + 220 + 132 = 666.

23102220132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 14204825856 + 8897394276 = 119184^2 + 94326^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259044 + ... + 336612.

Almost surely, 223102220132 is an apocalyptic number.

It is an amenable number.

23102220132 is an abundant number, since it is smaller than the sum of its proper divisors (35302870248).

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

23102220132 is a wasteful number, since it uses less digits than its factorization.

23102220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85852 (or 85847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 23102220132 in words is "twenty-three billion, one hundred two million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8273 16546 24819 33092 49638 74457 77569 99276 148914 155138 232707 297828 310276 465414 698121 930828 1396242 2792484 641728337 1283456674 1925185011 2566913348 3850370022 5775555033 7700740044 11551110066 23102220132