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12310832716 = 22721321931631
BaseRepresentation
bin10110111011100100…
…00110011001001100
31011202222000002200021
423131302012121030
5200203033121331
65353331511524
7614034231400
oct133562063114
934688002607
1012310832716
115248164916
122476a585a4
131212686200
1484b011100
154c0bbe211
hex2ddc8664c

12310832716 has 216 divisors, whose sum is σ = 29533916160. Its totient is φ = 4457980800.

The previous prime is 12310832683. The next prime is 12310832749. The reversal of 12310832716 is 61723801321.

12310832716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12310832683) and next prime (12310832749).

It is a super-2 number, since 2×123108327162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19509721 + ... + 19510351.

Almost surely, 212310832716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310832716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766958080).

12310832716 is an abundant number, since it is smaller than the sum of its proper divisors (17223083444).

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

12310832716 is a wasteful number, since it uses less digits than its factorization.

12310832716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 12310832716 in words is "twelve billion, three hundred ten million, eight hundred thirty-two thousand, seven hundred sixteen".