Search a number
-
+
12246363380113 is a prime number
BaseRepresentation
bin1011001000110101010000…
…1000111001100110010001
31121100202000010020112021021
42302031110020321212101
53101121023011130423
642013522432155441
72402525205130642
oct262152410714621
947322003215237
1012246363380113
1139a1720958775
121459516398b81
136aaa9a219495
14304a2742b6c9
1516385184295d
hexb2354239991

12246363380113 has 2 divisors, whose sum is σ = 12246363380114. Its totient is φ = 12246363380112.

The previous prime is 12246363380059. The next prime is 12246363380191. The reversal of 12246363380113 is 31108336364221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11450149813249 + 796213566864 = 3383807^2 + 892308^2 .

It is a cyclic number.

It is not a de Polignac number, because 12246363380113 - 229 = 12245826509201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12246363380113.

It is not a weakly prime, because it can be changed into another prime (12246363380213) 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, 6123181690056 + 6123181690057.

It is an arithmetic number, because the mean of its divisors is an integer number (6123181690057).

Almost surely, 212246363380113 is an apocalyptic number.

It is an amenable number.

12246363380113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12246363380113 is an equidigital number, since it uses as much as digits as its factorization.

12246363380113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 12246363380113 in words is "twelve trillion, two hundred forty-six billion, three hundred sixty-three million, three hundred eighty thousand, one hundred thirteen".