Search a number
-
+
122438356373 is a prime number
BaseRepresentation
bin111001000000111100…
…1010000110110010101
3102201000221100221121202
41302001321100312111
54001223204400443
6132125234522245
711563064600054
oct1620171206625
9381027327552
10122438356373
1147a20295383
121b890436385
13b7134126a8
145cd710c39b
1532b90a67b8
hex1c81e50d95

122438356373 has 2 divisors, whose sum is σ = 122438356374. Its totient is φ = 122438356372.

The previous prime is 122438356343. The next prime is 122438356393. The reversal of 122438356373 is 373653834221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70701214609 + 51737141764 = 265897^2 + 227458^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122438356373 is a prime.

It is a super-2 number, since 2×1224383563732 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122438356333) 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, 61219178186 + 61219178187.

It is an arithmetic number, because the mean of its divisors is an integer number (61219178187).

Almost surely, 2122438356373 is an apocalyptic number.

It is an amenable number.

122438356373 is a deficient number, since it is larger than the sum of its proper divisors (1).

122438356373 is an equidigital number, since it uses as much as digits as its factorization.

122438356373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 47.

The spelling of 122438356373 in words is "one hundred twenty-two billion, four hundred thirty-eight million, three hundred fifty-six thousand, three hundred seventy-three".