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23093157120 = 2835111015413
BaseRepresentation
bin10101100000011101…
…011001110100000000
32012121101211221010120
4111200131121310000
5334243322011440
614335302300240
71445161411455
oct254035316400
965541757116
1023093157120
119880537820
124585a27680
132240478117
14119101b82c
159025b1dd0
hex560759d00

23093157120 has 288 divisors, whose sum is σ = 81270290304. Its totient is φ = 5541888000.

The previous prime is 23093157067. The next prime is 23093157121. The reversal of 23093157120 is 2175139032.

It is a super-3 number, since 3×230931571203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23093157121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4263534 + ... + 4268946.

It is an arithmetic number, because the mean of its divisors is an integer number (282188508).

Almost surely, 223093157120 is an apocalyptic number.

23093157120 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 23093157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40635145152).

23093157120 is an abundant number, since it is smaller than the sum of its proper divisors (58177133184).

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

23093157120 is a wasteful number, since it uses less digits than its factorization.

23093157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 23093157120 in words is "twenty-three billion, ninety-three million, one hundred fifty-seven thousand, one hundred twenty".