Search a number
-
+
122109838057 is a prime number
BaseRepresentation
bin111000110111001010…
…0000100001011101001
3102200012001012111012201
41301232110010023221
54000040104304212
6132032501340201
711551665332524
oct1615624041351
9380161174181
10122109838057
1147871902739
121b7ba407661
13b69033b15c
145ca5633bbb
15329a312b57
hex1c6e5042e9

122109838057 has 2 divisors, whose sum is σ = 122109838058. Its totient is φ = 122109838056.

The previous prime is 122109838051. The next prime is 122109838079. The reversal of 122109838057 is 750838901221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114937272576 + 7172565481 = 339024^2 + 84691^2 .

It is a cyclic number.

It is not a de Polignac number, because 122109838057 - 231 = 119962354409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122109837998 and 122109838016.

It is not a weakly prime, because it can be changed into another prime (122109838051) 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, 61054919028 + 61054919029.

It is an arithmetic number, because the mean of its divisors is an integer number (61054919029).

Almost surely, 2122109838057 is an apocalyptic number.

It is an amenable number.

122109838057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122109838057 is an equidigital number, since it uses as much as digits as its factorization.

122109838057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 122109838057 in words is "one hundred twenty-two billion, one hundred nine million, eight hundred thirty-eight thousand, fifty-seven".