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122283166657 is a prime number
BaseRepresentation
bin111000111100010100…
…1010000101111000001
3102200122010100111100111
41301320221100233001
54000413442313112
6132102012351321
711556201523651
oct1617051205701
9380563314314
10122283166657
1147950729013
121b848475541
13b6ba217562
145cc0672361
1532aa64e5a7
hex1c78a50bc1

122283166657 has 2 divisors, whose sum is σ = 122283166658. Its totient is φ = 122283166656.

The previous prime is 122283166609. The next prime is 122283166669. The reversal of 122283166657 is 756661382221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75319509136 + 46963657521 = 274444^2 + 216711^2 .

It is a cyclic number.

It is not a de Polignac number, because 122283166657 - 231 = 120135683009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122283166657.

It is not a weakly prime, because it can be changed into another prime (122283161657) 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, 61141583328 + 61141583329.

It is an arithmetic number, because the mean of its divisors is an integer number (61141583329).

Almost surely, 2122283166657 is an apocalyptic number.

It is an amenable number.

122283166657 is a deficient number, since it is larger than the sum of its proper divisors (1).

122283166657 is an equidigital number, since it uses as much as digits as its factorization.

122283166657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 49.

The spelling of 122283166657 in words is "one hundred twenty-two billion, two hundred eighty-three million, one hundred sixty-six thousand, six hundred fifty-seven".