Search a number
-
+
122356775081 is a prime number
BaseRepresentation
bin111000111110100001…
…0000011100010101001
3102200211020212012010102
41301331002003202221
54001041313300311
6132113202155145
711561054266532
oct1617502034251
9380736765112
10122356775081
1147989234122
121b869052ab5
13b6cc54a638
145cca353689
1532b1d3e43b
hex1c7d0838a9

122356775081 has 2 divisors, whose sum is σ = 122356775082. Its totient is φ = 122356775080.

The previous prime is 122356775077. The next prime is 122356775129. The reversal of 122356775081 is 180577653221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120850093225 + 1506681856 = 347635^2 + 38816^2 .

It is a cyclic number.

It is not a de Polignac number, because 122356775081 - 22 = 122356775077 is a prime.

It is a super-2 number, since 2×1223567750812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122356775011) 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, 61178387540 + 61178387541.

It is an arithmetic number, because the mean of its divisors is an integer number (61178387541).

Almost surely, 2122356775081 is an apocalyptic number.

It is an amenable number.

122356775081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122356775081 is an equidigital number, since it uses as much as digits as its factorization.

122356775081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 122356775081 in words is "one hundred twenty-two billion, three hundred fifty-six million, seven hundred seventy-five thousand, eighty-one".