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23100983136 = 2533711231567
BaseRepresentation
bin10101100000111011…
…010000011101100000
32012121221120112102000
4111200323100131200
5334302322430021
614340142124000
71445315055030
oct254073203540
965557515360
1023100983136
1198849a2600
124588580600
132241c882ba
1411920978c0
1590310ab26
hex560ed0760

23100983136 has 288 divisors, whose sum is σ = 84642647040. Its totient is φ = 6000065280.

The previous prime is 23100983117. The next prime is 23100983159. The reversal of 23100983136 is 63138900132.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23100983136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716025 + ... + 747591.

It is an arithmetic number, because the mean of its divisors is an integer number (293898080).

Almost surely, 223100983136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23100983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42321323520).

23100983136 is an abundant number, since it is smaller than the sum of its proper divisors (61541663904).

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

23100983136 is a wasteful number, since it uses less digits than its factorization.

23100983136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31615 (or 31590 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 23100983136 in words is "twenty-three billion, one hundred million, nine hundred eighty-three thousand, one hundred thirty-six".