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317223416146097 is a prime number
BaseRepresentation
bin100100000100000110101010…
…1000010001010100010110001
31112121012021002022000222021102
41020020031111002022202301
5313034342024013133342
63042402231530134145
7123550430655251246
oct11010152502124261
91477167068028242
10317223416146097
119209377146513a
122b6b4034281355
131080106953c776
1458499a3b355cd
1526a1a98037832
hex120835508a8b1

317223416146097 has 2 divisors, whose sum is σ = 317223416146098. Its totient is φ = 317223416146096.

The previous prime is 317223416146031. The next prime is 317223416146099. The reversal of 317223416146097 is 790641614322713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305685919983376 + 11537496162721 = 17483876^2 + 3396689^2 .

It is a cyclic number.

It is not a de Polignac number, because 317223416146097 - 212 = 317223416142001 is a prime.

Together with 317223416146099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (317223416146099) 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, 158611708073048 + 158611708073049.

It is an arithmetic number, because the mean of its divisors is an integer number (158611708073049).

Almost surely, 2317223416146097 is an apocalyptic number.

It is an amenable number.

317223416146097 is a deficient number, since it is larger than the sum of its proper divisors (1).

317223416146097 is an equidigital number, since it uses as much as digits as its factorization.

317223416146097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 317223416146097 in words is "three hundred seventeen trillion, two hundred twenty-three billion, four hundred sixteen million, one hundred forty-six thousand, ninety-seven".