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12313202101073 is a prime number
BaseRepresentation
bin1011001100101110010000…
…0010011000101101010001
31121121010112020002100112222
42303023210002120231101
53103214414214213243
642104335034030425
72410412424650426
oct263134402305521
947533466070488
1012313202101073
113a17aaa644035
12146a46a578415
136b418c731903
14307d68257d4d
15165464653168
hexb32e4098b51

12313202101073 has 2 divisors, whose sum is σ = 12313202101074. Its totient is φ = 12313202101072.

The previous prime is 12313202101043. The next prime is 12313202101091. The reversal of 12313202101073 is 37010120231321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7281022565569 + 5032179535504 = 2698337^2 + 2243252^2 .

It is an emirp because it is prime and its reverse (37010120231321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12313202101073 - 220 = 12313201052497 is a prime.

It is a super-2 number, since 2×123132021010732 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313202101033) 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, 6156601050536 + 6156601050537.

It is an arithmetic number, because the mean of its divisors is an integer number (6156601050537).

Almost surely, 212313202101073 is an apocalyptic number.

It is an amenable number.

12313202101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313202101073 is an equidigital number, since it uses as much as digits as its factorization.

12313202101073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 12313202101073 its reverse (37010120231321), we get a palindrome (49323322332394).

The spelling of 12313202101073 in words is "twelve trillion, three hundred thirteen billion, two hundred two million, one hundred one thousand, seventy-three".