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12931107840 = 210335722383
BaseRepresentation
bin11000000101100000…
…10000110000000000
31020101012011100012000
430002300100300000
5202440330422330
65535050304000
7635305413600
oct140260206000
936335140160
1012931107840
115536300792
12260a728000
1312b1030501
148a9554c00
1550a394560
hex302c10c00

12931107840 has 1056 divisors, whose sum is σ = 56453967360. Its totient is φ = 2793111552.

The previous prime is 12931107829. The next prime is 12931107881. The reversal of 12931107840 is 4870113921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12931107795 and 12931107804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155796439 + ... + 155796521.

Almost surely, 212931107840 is an apocalyptic number.

12931107840 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 12931107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226983680).

12931107840 is an abundant number, since it is smaller than the sum of its proper divisors (43522859520).

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

12931107840 is a wasteful number, since it uses less digits than its factorization.

12931107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12931107840 in words is "twelve billion, nine hundred thirty-one million, one hundred seven thousand, eight hundred forty".