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23131032320 = 2851117412357
BaseRepresentation
bin10101100010101101…
…111000101100000000
32012201001010012010202
4111202231320230000
5334333021013240
614343134144332
71446131350004
oct254255705400
965631105122
1023131032320
11989a956a40
1245966520a8
132248279796
14119607a704
15905a94315
hex562b78b00

23131032320 has 288 divisors, whose sum is σ = 65587185216. Its totient is φ = 7720140800.

The previous prime is 23131032319. The next prime is 23131032329. The reversal of 23131032320 is 2323013132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23131032292 and 23131032301.

It is not an unprimeable number, because it can be changed into a prime (23131032329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9812582 + ... + 9814938.

It is an arithmetic number, because the mean of its divisors is an integer number (227733282).

Almost surely, 223131032320 is an apocalyptic number.

23131032320 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 23131032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32793592608).

23131032320 is an abundant number, since it is smaller than the sum of its proper divisors (42456152896).

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

23131032320 is a wasteful number, since it uses less digits than its factorization.

23131032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23131032320 its reverse (2323013132), we get a palindrome (25454045452).

The spelling of 23131032320 in words is "twenty-three billion, one hundred thirty-one million, thirty-two thousand, three hundred twenty".