Search a number
-
+
122321031109 is a prime number
BaseRepresentation
bin111000111101011100…
…1101100111111000101
3102200201202121012121121
41301322321230333011
54001003140443414
6132105444113541
711560141415644
oct1617271547705
9380652535547
10122321031109
1147970040152
121b8590958b1
13b6c5014064
145cc56cb35b
1532adb2d724
hex1c7ae6cfc5

122321031109 has 2 divisors, whose sum is σ = 122321031110. Its totient is φ = 122321031108.

The previous prime is 122321031097. The next prime is 122321031127. The reversal of 122321031109 is 901130123221.

122321031109 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85543380484 + 36777650625 = 292478^2 + 191775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122321031109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122321031409) 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, 61160515554 + 61160515555.

It is an arithmetic number, because the mean of its divisors is an integer number (61160515555).

Almost surely, 2122321031109 is an apocalyptic number.

It is an amenable number.

122321031109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122321031109 is an equidigital number, since it uses as much as digits as its factorization.

122321031109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 122321031109 in words is "one hundred twenty-two billion, three hundred twenty-one million, thirty-one thousand, one hundred nine".