Search a number
-
+
122202000111137 is a prime number
BaseRepresentation
bin11011110010010001011110…
…110011101011011000100001
3121000200101201111110202002012
4123302101132303223120201
5112004124144012024022
61111522453541202305
734511542324253102
oct3362213663533041
9530611644422065
10122202000111137
1135a34639299301
1211857696700395
1353257a349600b
1422268734c83a9
15e1db4b48cde2
hex6f245eceb621

122202000111137 has 2 divisors, whose sum is σ = 122202000111138. Its totient is φ = 122202000111136.

The previous prime is 122202000111089. The next prime is 122202000111161. The reversal of 122202000111137 is 731111000202221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71966565522721 + 50235434588416 = 8483311^2 + 7087696^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202000111137 - 218 = 122201999848993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122202000111167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101000055568 + 61101000055569.

It is an arithmetic number, because the mean of its divisors is an integer number (61101000055569).

Almost surely, 2122202000111137 is an apocalyptic number.

It is an amenable number.

122202000111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202000111137 is an equidigital number, since it uses as much as digits as its factorization.

122202000111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 122202000111137 its reverse (731111000202221), we get a palindrome (853313000313358).

The spelling of 122202000111137 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred eleven thousand, one hundred thirty-seven".