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12313320320 = 2757171071511
BaseRepresentation
bin10110111011110111…
…00101101110000000
31011210010200111000202
423131323211232000
5200204202222240
65353501104332
7614064332030
oct133573455600
934703614022
1012313320320
115249603894
1224778580a8
131213047572
1484b49b8c0
154c1011315
hex2ddee5b80

12313320320 has 256 divisors, whose sum is σ = 35977374720. Its totient is φ = 3933634560.

The previous prime is 12313320281. The next prime is 12313320323. The reversal of 12313320320 is 2302331321.

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 = 12313320292 and 12313320301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8148365 + ... + 8149875.

It is an arithmetic number, because the mean of its divisors is an integer number (140536620).

Almost surely, 212313320320 is an apocalyptic number.

12313320320 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 12313320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17988687360).

12313320320 is an abundant number, since it is smaller than the sum of its proper divisors (23664054400).

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

12313320320 is a wasteful number, since it uses less digits than its factorization.

12313320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1649 counting only the distinct ones).

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

Adding to 12313320320 its reverse (2302331321), we get a palindrome (14615651641).

The spelling of 12313320320 in words is "twelve billion, three hundred thirteen million, three hundred twenty thousand, three hundred twenty".