Search a number
-
+
122310131093 is a prime number
BaseRepresentation
bin111000111101001000…
…0000111110110010101
3102200201000002102121022
41301322100013312111
54000442343143333
6132104414330525
711556646650323
oct1617220076625
9380630072538
10122310131093
1147964975877
121b8554b9a45
13b6c2998947
145cc4090d13
1532acbc8c98
hex1c7a407d95

122310131093 has 2 divisors, whose sum is σ = 122310131094. Its totient is φ = 122310131092.

The previous prime is 122310131051. The next prime is 122310131107. The reversal of 122310131093 is 390131013221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63870936529 + 58439194564 = 252727^2 + 241742^2 .

It is a cyclic number.

It is not a de Polignac number, because 122310131093 - 216 = 122310065557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122310131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155065546 + 61155065547.

It is an arithmetic number, because the mean of its divisors is an integer number (61155065547).

Almost surely, 2122310131093 is an apocalyptic number.

It is an amenable number.

122310131093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122310131093 is an equidigital number, since it uses as much as digits as its factorization.

122310131093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 122310131093 in words is "one hundred twenty-two billion, three hundred ten million, one hundred thirty-one thousand, ninety-three".