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12313456272 = 2433132237333
BaseRepresentation
bin10110111011111000…
…00110111010010000
31011210010221101112000
423131330012322100
5200204221100042
65353504034000
7614065436265
oct133574067220
934703841460
1012313456272
115249696a47
122477902900
131213094400
1484b4d526c
154c103b74c
hex2ddf06e90

12313456272 has 240 divisors, whose sum is σ = 39941550720. Its totient is φ = 3623533056.

The previous prime is 12313456271. The next prime is 12313456273. The reversal of 12313456272 is 27265431321.

12313456272 is a `hidden beast` number, since 1 + 23 + 1 + 3 + 4 + 5 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12313456271) and next prime (12313456273).

It is a super-2 number, since 2×123134562722 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12313456271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675518 + ... + 1682850.

It is an arithmetic number, because the mean of its divisors is an integer number (166423128).

Almost surely, 212313456272 is an apocalyptic number.

12313456272 is a gapful number since it is divisible by the number (12) 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 12313456272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970775360).

12313456272 is an abundant number, since it is smaller than the sum of its proper divisors (27628094448).

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

12313456272 is a wasteful number, since it uses less digits than its factorization.

12313456272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7374 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Adding to 12313456272 its reverse (27265431321), we get a palindrome (39578887593).

The spelling of 12313456272 in words is "twelve billion, three hundred thirteen million, four hundred fifty-six thousand, two hundred seventy-two".