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311222302032097 is a prime number
BaseRepresentation
bin100011011000011100001011…
…0110000100100000011100001
31111210221120011100002120021201
41012300320112300210003201
5311243031233310011342
63021525315103521201
7122361032526031231
oct10660702660440341
91453846140076251
10311222302032097
119018a700a48415
122aaa4b732b9201
13104871a2429a21
1456bd34ddb1cc1
1525ea91637bdb7
hex11b0e16c240e1

311222302032097 has 2 divisors, whose sum is σ = 311222302032098. Its totient is φ = 311222302032096.

The previous prime is 311222302032023. The next prime is 311222302032133. The reversal of 311222302032097 is 790230203222113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213272405614801 + 97949896417296 = 14603849^2 + 9896964^2 .

It is an emirp because it is prime and its reverse (790230203222113) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311222302032097 is a prime.

It is not a weakly prime, because it can be changed into another prime (311222302032997) 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, 155611151016048 + 155611151016049.

It is an arithmetic number, because the mean of its divisors is an integer number (155611151016049).

Almost surely, 2311222302032097 is an apocalyptic number.

It is an amenable number.

311222302032097 is a deficient number, since it is larger than the sum of its proper divisors (1).

311222302032097 is an equidigital number, since it uses as much as digits as its factorization.

311222302032097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 311222302032097 in words is "three hundred eleven trillion, two hundred twenty-two billion, three hundred two million, thirty-two thousand, ninety-seven".