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12306393743617 is a prime number
BaseRepresentation
bin1011001100010100111000…
…1110100100000100000001
31121120110221201221221220201
42303011032032210010001
53103111443244243432
642101251303205201
72410051623606661
oct263051616440401
947513851857821
1012306393743617
113a15126494336
12146908a446801
136b3646047c2c
143078bdd461a1
151651b6a91ee7
hexb314e3a4101

12306393743617 has 2 divisors, whose sum is σ = 12306393743618. Its totient is φ = 12306393743616.

The previous prime is 12306393743599. The next prime is 12306393743641. The reversal of 12306393743617 is 71634739360321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12169102003776 + 137291739841 = 3488424^2 + 370529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12306393743617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12306393743717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6153196871808 + 6153196871809.

It is an arithmetic number, because the mean of its divisors is an integer number (6153196871809).

Almost surely, 212306393743617 is an apocalyptic number.

It is an amenable number.

12306393743617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12306393743617 is an equidigital number, since it uses as much as digits as its factorization.

12306393743617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10287648, while the sum is 55.

The spelling of 12306393743617 in words is "twelve trillion, three hundred six billion, three hundred ninety-three million, seven hundred forty-three thousand, six hundred seventeen".