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23120032320 = 26325711137761
BaseRepresentation
bin10101100010000011…
…111011001001000000
32012200021102022222100
4111202003323021000
5334322212013240
614342102310400
71445636014020
oct254203731100
965607368870
1023120032320
119894723530
124592a28400
132245bc79c8
141194815a80
15904b1ee30
hex5620fb240

23120032320 has 672 divisors, whose sum is σ = 100000832256. Its totient is φ = 4762828800.

The previous prime is 23120032291. The next prime is 23120032361. The reversal of 23120032320 is 2323002132.

It is a happy number.

23120032320 is a `hidden beast` number, since 2 + 312 + 0 + 0 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23120032293 and 23120032302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30380740 + ... + 30381500.

Almost surely, 223120032320 is an apocalyptic number.

23120032320 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 23120032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50000416128).

23120032320 is an abundant number, since it is smaller than the sum of its proper divisors (76880799936).

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

23120032320 is a wasteful number, since it uses less digits than its factorization.

23120032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23120032320 its reverse (2323002132), we get a palindrome (25443034452).

The spelling of 23120032320 in words is "twenty-three billion, one hundred twenty million, thirty-two thousand, three hundred twenty".