Search a number
-
+
122444405524393 is a prime number
BaseRepresentation
bin11011110101110011001111…
…010010111100011110101001
3121001112120102011000121201221
4123311303033102330132221
5112022112120303240033
61112230103334342041
734535213341261411
oct3365631722743651
9531476364017657
10122444405524393
1136018420888087
12118966677ba921
1353425c4cca2a4
1422344ab405641
15e250d768e12d
hex6f5ccf4bc7a9

122444405524393 has 2 divisors, whose sum is σ = 122444405524394. Its totient is φ = 122444405524392.

The previous prime is 122444405524349. The next prime is 122444405524439. The reversal of 122444405524393 is 393425504444221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68173293050944 + 54271112473449 = 8256712^2 + 7366893^2 .

It is a cyclic number.

It is not a de Polignac number, because 122444405524393 - 229 = 122443868653481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122444405524393.

It is not a weakly prime, because it can be changed into another prime (122444405524303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61222202762196 + 61222202762197.

It is an arithmetic number, because the mean of its divisors is an integer number (61222202762197).

Almost surely, 2122444405524393 is an apocalyptic number.

It is an amenable number.

122444405524393 is a deficient number, since it is larger than the sum of its proper divisors (1).

122444405524393 is an equidigital number, since it uses as much as digits as its factorization.

122444405524393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16588800, while the sum is 52.

The spelling of 122444405524393 in words is "one hundred twenty-two trillion, four hundred forty-four billion, four hundred five million, five hundred twenty-four thousand, three hundred ninety-three".