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23099281920 = 2934511131941
BaseRepresentation
bin10101100000110100…
…110001001000000000
32012121211101002210000
4111200310301020000
5334301404010140
614340041440000
71445264441151
oct254064611000
965554332700
1023099281920
119883a40440
124587aa0000
132241810b70
141191b73928
15902dc1a30
hex560d31200

23099281920 has 1600 divisors, whose sum is σ = 104809541760. Its totient is φ = 4777574400.

The previous prime is 23099281897. The next prime is 23099281943. The reversal of 23099281920 is 2918299032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23099281897) and next prime (23099281943).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 563397100 + ... + 563397140.

Almost surely, 223099281920 is an apocalyptic number.

23099281920 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 23099281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52404770880).

23099281920 is an abundant number, since it is smaller than the sum of its proper divisors (81710259840).

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

23099281920 is a wasteful number, since it uses less digits than its factorization.

23099281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 23099281920 in words is "twenty-three billion, ninety-nine million, two hundred eighty-one thousand, nine hundred twenty".