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10923232320 = 2634571113421
BaseRepresentation
bin10100010110001001…
…10100110001000000
31001012020222200210000
422023010310301000
5134332321413240
65003522440000
7534454641240
oct121304646100
931166880700
1010923232320
1146a5975130
12214a203000
1310510595a0
14758a09b20
1543de78430
hex28b134c40

10923232320 has 1120 divisors, whose sum is σ = 52294023936. Its totient is φ = 2090188800.

The previous prime is 10923232301. The next prime is 10923232321. The reversal of 10923232320 is 2323232901.

10923232320 is a `hidden beast` number, since 10 + 9 + 2 + 323 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10923232321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945710 + ... + 25946130.

Almost surely, 210923232320 is an apocalyptic number.

10923232320 is a gapful number since it is divisible by the number (10) 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 10923232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147011968).

10923232320 is an abundant number, since it is smaller than the sum of its proper divisors (41370791616).

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

10923232320 is a wasteful number, since it uses less digits than its factorization.

10923232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 10923232320 in words is "ten billion, nine hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty".