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23456027100 = 2235211172931427
BaseRepresentation
bin10101110110000101…
…101001000111011100
32020112200122122011110
4111312011221013130
5341014220331400
614435304022020
71460155640442
oct256605510734
966480578143
1023456027100
119a47352370
124667461910
13229a6b929c
1411c72b8b92
1592438de50
hex5761691dc

23456027100 has 288 divisors, whose sum is σ = 78713462016. Its totient is φ = 5329817600.

The previous prime is 23456027087. The next prime is 23456027107. The reversal of 23456027100 is 172065432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456027107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16436587 + ... + 16438013.

It is an arithmetic number, because the mean of its divisors is an integer number (273310632).

Almost surely, 223456027100 is an apocalyptic number.

23456027100 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 23456027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39356731008).

23456027100 is an abundant number, since it is smaller than the sum of its proper divisors (55257434916).

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

23456027100 is a wasteful number, since it uses less digits than its factorization.

23456027100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 23456027100 in words is "twenty-three billion, four hundred fifty-six million, twenty-seven thousand, one hundred".