Search a number
-
+
122315578409 is a prime number
BaseRepresentation
bin111000111101010010…
…0111001110000101001
3102200201101100011220202
41301322210321300221
54001000242002114
6132105131201545
711560044155603
oct1617244716051
9380641304822
10122315578409
1147967a56492
121b8572a62b5
13b6c3b551cb
145cc4aac173
1532ad402cde
hex1c7a939c29

122315578409 has 2 divisors, whose sum is σ = 122315578410. Its totient is φ = 122315578408.

The previous prime is 122315578403. The next prime is 122315578433. The reversal of 122315578409 is 904875513221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70983879184 + 51331699225 = 266428^2 + 226565^2 .

It is a cyclic number.

It is not a de Polignac number, because 122315578409 - 220 = 122314529833 is a prime.

It is a super-2 number, since 2×1223155784092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122315578403) 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, 61157789204 + 61157789205.

It is an arithmetic number, because the mean of its divisors is an integer number (61157789205).

Almost surely, 2122315578409 is an apocalyptic number.

It is an amenable number.

122315578409 is a deficient number, since it is larger than the sum of its proper divisors (1).

122315578409 is an equidigital number, since it uses as much as digits as its factorization.

122315578409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 122315578409 in words is "one hundred twenty-two billion, three hundred fifteen million, five hundred seventy-eight thousand, four hundred nine".