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12310332320 = 255111323149157
BaseRepresentation
bin10110111011100000…
…01100001110100000
31011202221001200021002
423131300030032200
5200202421113240
65353313051132
7614030045456
oct133560141640
934687050232
1012310332320
115247952970
122476856aa8
13121253c510
1484ad209d6
154c0b20d15
hex2ddc0c3a0

12310332320 has 384 divisors, whose sum is σ = 36121075200. Its totient is φ = 3900948480.

The previous prime is 12310332319. The next prime is 12310332323. The reversal of 12310332320 is 2323301321.

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 = 12310332292 and 12310332301.

It is not an unprimeable number, because it can be changed into a prime (12310332323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78409682 + ... + 78409838.

It is an arithmetic number, because the mean of its divisors is an integer number (94065300).

Almost surely, 212310332320 is an apocalyptic number.

12310332320 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 12310332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060537600).

12310332320 is an abundant number, since it is smaller than the sum of its proper divisors (23810742880).

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

12310332320 is a wasteful number, since it uses less digits than its factorization.

12310332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

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

Adding to 12310332320 its reverse (2323301321), we get a palindrome (14633633641).

The spelling of 12310332320 in words is "twelve billion, three hundred ten million, three hundred thirty-two thousand, three hundred twenty".