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12313202109121 is a prime number
BaseRepresentation
bin1011001100101110010000…
…0010011010101011000001
31121121010112020002202121001
42303023210002122223001
53103214414214442441
642104335034132001
72410412425013044
oct263134402325301
947533466082531
1012313202109121
113a17aaa64a091
12146a46a581001
136b418c735484
14307d6825ac5b
15165464655731
hexb32e409aac1

12313202109121 has 2 divisors, whose sum is σ = 12313202109122. Its totient is φ = 12313202109120.

The previous prime is 12313202109079. The next prime is 12313202109127. The reversal of 12313202109121 is 12190120231321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9301280040000 + 3011922069121 = 3049800^2 + 1735489^2 .

It is an emirp because it is prime and its reverse (12190120231321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12313202109121 - 225 = 12313168554689 is a prime.

It is a super-2 number, since 2×123132021091212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12313202109121.

It is not a weakly prime, because it can be changed into another prime (12313202109127) 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 as a sum of consecutive naturals, namely, 6156601054560 + 6156601054561.

It is an arithmetic number, because the mean of its divisors is an integer number (6156601054561).

Almost surely, 212313202109121 is an apocalyptic number.

It is an amenable number.

12313202109121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313202109121 is an equidigital number, since it uses as much as digits as its factorization.

12313202109121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 12313202109121 in words is "twelve trillion, three hundred thirteen billion, two hundred two million, one hundred nine thousand, one hundred twenty-one".