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1312430554512 = 24357116171867
BaseRepresentation
bin10011000110010010111…
…101001111110110010000
311122110121112122001100000
4103012102331033312100
5133000324210221022
62442531113330000
7163551152435160
oct23062275176620
94573545561300
101312430554512
11466664918840
12192436406900
13969b950aa3c
14477444425a0
15242153926ac
hex13192f4fd90

1312430554512 has 480 divisors, whose sum is σ = 4826825063424. Its totient is φ = 335298009600.

The previous prime is 1312430554499. The next prime is 1312430554543. The reversal of 1312430554512 is 2154550342131.

1312430554512 is a `hidden beast` number, since 1 + 3 + 1 + 24 + 30 + 554 + 51 + 2 = 666.

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

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, 18226003 + ... + 18297869.

Almost surely, 21312430554512 is an apocalyptic number.

1312430554512 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 1312430554512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413412531712).

1312430554512 is an abundant number, since it is smaller than the sum of its proper divisors (3514394508912).

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

1312430554512 is a wasteful number, since it uses less digits than its factorization.

1312430554512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71969 (or 71951 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1312430554512 its reverse (2154550342131), we get a palindrome (3466980896643).

The spelling of 1312430554512 in words is "one trillion, three hundred twelve billion, four hundred thirty million, five hundred fifty-four thousand, five hundred twelve".