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23121132320 = 255111373109127
BaseRepresentation
bin10101100010001000…
…000111101100100000
32012200100111012220002
4111202020013230200
5334323002213240
614342142035132
71445651245016
oct254210075440
965610435802
1023121132320
119895304a20
124593278aa8
1322461c15b0
141194a208b6
15904c8ad15
hex562207b20

23121132320 has 384 divisors, whose sum is σ = 66166087680. Its totient is φ = 7524679680.

The previous prime is 23121132313. The next prime is 23121132367. The reversal of 23121132320 is 2323112132.

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 = 23121132292 and 23121132301.

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 63 ways as a sum of consecutive naturals, for example, 182056097 + ... + 182056223.

It is an arithmetic number, because the mean of its divisors is an integer number (172307520).

Almost surely, 223121132320 is an apocalyptic number.

23121132320 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 23121132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33083043840).

23121132320 is an abundant number, since it is smaller than the sum of its proper divisors (43044955360).

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

23121132320 is a wasteful number, since it uses less digits than its factorization.

23121132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23121132320 its reverse (2323112132), we get a palindrome (25444244452).

The spelling of 23121132320 in words is "twenty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".