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23111032320 = 293352391399
BaseRepresentation
bin10101100001100001…
…100101111000000000
32012122122111002022000
4111201201211320000
5334312411013240
614341141344000
71445466350655
oct254141457000
965578432260
1023111032320
11988a636712
12458ba08000
13224409636c
141193551c2c
15903e43430
hex561865e00

23111032320 has 320 divisors, whose sum is σ = 82494720000. Its totient is φ = 6132768768.

The previous prime is 23111032319. The next prime is 23111032361. The reversal of 23111032320 is 2323011132.

23111032320 is a `hidden beast` number, since 2 + 311 + 1 + 0 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 23111032293 and 23111032302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16518981 + ... + 16520379.

It is an arithmetic number, because the mean of its divisors is an integer number (257796000).

Almost surely, 223111032320 is an apocalyptic number.

23111032320 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 23111032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360000).

23111032320 is an abundant number, since it is smaller than the sum of its proper divisors (59383687680).

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

23111032320 is a wasteful number, since it uses less digits than its factorization.

23111032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23111032320 its reverse (2323011132), we get a palindrome (25434043452).

The spelling of 23111032320 in words is "twenty-three billion, one hundred eleven million, thirty-two thousand, three hundred twenty".