Search a number
-
+
122335032037 is a prime number
BaseRepresentation
bin111000111101110111…
…1000111001011100101
3102200202201221112021111
41301323233013023211
54001020232011122
6132111104145021
711560401420661
oct1617357071345
9380681845244
10122335032037
1147977a33269
121b861908171
13b6c7ba6a2a
145cc74d38a1
1532aee96d77
hex1c7bbc72e5

122335032037 has 2 divisors, whose sum is σ = 122335032038. Its totient is φ = 122335032036.

The previous prime is 122335031999. The next prime is 122335032077. The reversal of 122335032037 is 730230533221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87266477281 + 35068554756 = 295409^2 + 187266^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122335032037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122335032077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61167516018 + 61167516019.

It is an arithmetic number, because the mean of its divisors is an integer number (61167516019).

Almost surely, 2122335032037 is an apocalyptic number.

It is an amenable number.

122335032037 is a deficient number, since it is larger than the sum of its proper divisors (1).

122335032037 is an equidigital number, since it uses as much as digits as its factorization.

122335032037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 31.

Adding to 122335032037 its reverse (730230533221), we get a palindrome (852565565258).

The spelling of 122335032037 in words is "one hundred twenty-two billion, three hundred thirty-five million, thirty-two thousand, thirty-seven".