Search a number
-
+
122365312037 is a prime number
BaseRepresentation
bin111000111110110001…
…0100111110000100101
3102200211211220220121222
41301331202213300211
54001101004441122
6132114105150125
711561216663603
oct1617542476045
9380754826558
10122365312037
1147993035061
121b86ba8b345
13b7012492a7
145ccb536873
1532b2978b42
hex1c7d8a7c25

122365312037 has 2 divisors, whose sum is σ = 122365312038. Its totient is φ = 122365312036.

The previous prime is 122365312031. The next prime is 122365312093. The reversal of 122365312037 is 730213563221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121294779076 + 1070532961 = 348274^2 + 32719^2 .

It is a cyclic number.

It is not a de Polignac number, because 122365312037 - 234 = 105185442853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122365311988 and 122365312006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122365312031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61182656018 + 61182656019.

It is an arithmetic number, because the mean of its divisors is an integer number (61182656019).

Almost surely, 2122365312037 is an apocalyptic number.

It is an amenable number.

122365312037 is a deficient number, since it is larger than the sum of its proper divisors (1).

122365312037 is an equidigital number, since it uses as much as digits as its factorization.

122365312037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 122365312037 its reverse (730213563221), we get a palindrome (852578875258).

The spelling of 122365312037 in words is "one hundred twenty-two billion, three hundred sixty-five million, three hundred twelve thousand, thirty-seven".