Search a number
-
+
123221132137 is a prime number
BaseRepresentation
bin111001011000010001…
…1010100001101101001
3102210001111022002002201
41302300203110031221
54004324102212022
6132335040300201
711621351225125
oct1626043241551
9383044262081
10123221132137
11482921313a4
121ba6a611661
13b80964470c
145d6d072585
153312b7a127
hex1cb08d4369

123221132137 has 2 divisors, whose sum is σ = 123221132138. Its totient is φ = 123221132136.

The previous prime is 123221132101. The next prime is 123221132143. The reversal of 123221132137 is 731231122321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114945409296 + 8275722841 = 339036^2 + 90971^2 .

It is a cyclic number.

It is not a de Polignac number, because 123221132137 - 231 = 121073648489 is a prime.

It is not a weakly prime, because it can be changed into another prime (123221138137) 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, 61610566068 + 61610566069.

It is an arithmetic number, because the mean of its divisors is an integer number (61610566069).

Almost surely, 2123221132137 is an apocalyptic number.

It is an amenable number.

123221132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

123221132137 is an equidigital number, since it uses as much as digits as its factorization.

123221132137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

Adding to 123221132137 its reverse (731231122321), we get a palindrome (854452254458).

The spelling of 123221132137 in words is "one hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-seven".