Search a number
-
+
12313723666693 is a prime number
BaseRepresentation
bin1011001100110000001100…
…1000000000000100000101
31121121011212120111122002011
42303030003020000010011
53103222001224313233
642104502505014221
72410431360124051
oct263140310000405
947534776448064
1012313723666693
113a18247a9aaa9
12146a595184371
136b42437c7917
14307db7624c61
1516549532b0cd
hexb3303200105

12313723666693 has 2 divisors, whose sum is σ = 12313723666694. Its totient is φ = 12313723666692.

The previous prime is 12313723666661. The next prime is 12313723666729. The reversal of 12313723666693 is 39666632731321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11311766710209 + 1001956956484 = 3363297^2 + 1000978^2 .

It is an emirp because it is prime and its reverse (39666632731321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12313723666693 - 25 = 12313723666661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313723666093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156861833346 + 6156861833347.

It is an arithmetic number, because the mean of its divisors is an integer number (6156861833347).

Almost surely, 212313723666693 is an apocalyptic number.

It is an amenable number.

12313723666693 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313723666693 is an equidigital number, since it uses as much as digits as its factorization.

12313723666693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26453952, while the sum is 58.

The spelling of 12313723666693 in words is "twelve trillion, three hundred thirteen billion, seven hundred twenty-three million, six hundred sixty-six thousand, six hundred ninety-three".