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23135154000 = 243537278691
BaseRepresentation
bin10101100010111101…
…100110111101010000
32012201022212121000120
4111202331212331100
5334340044412000
614343402350240
71446211364400
oct254275467520
965638777016
1023135154000
1198a2211692
124597abb380
13224909084a
141196830800
1590610a6a0
hex562f66f50

23135154000 has 240 divisors, whose sum is σ = 86766428736. Its totient is φ = 5287968000.

The previous prime is 23135153983. The next prime is 23135154001. The reversal of 23135154000 is 45153132.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23135154001) 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 47 ways as a sum of consecutive naturals, for example, 254655 + ... + 333345.

Almost surely, 223135154000 is an apocalyptic number.

23135154000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43383214368).

23135154000 is an abundant number, since it is smaller than the sum of its proper divisors (63631274736).

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

23135154000 is a wasteful number, since it uses less digits than its factorization.

23135154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78731 (or 78708 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 23135154000 in words is "twenty-three billion, one hundred thirty-five million, one hundred fifty-four thousand".