Search a number
-
+
104601239441 is a prime number
BaseRepresentation
bin110000101101010111…
…0000011111110010001
3100222222211200112011022
41201122232003332101
53203210404130231
6120015251325225
710362054602516
oct1413256037621
9328884615138
10104601239441
11403a7744426
12183328b0815
139b2cb71c2a
1450c41a130d
152ac3174c7b
hex185ab83f91

104601239441 has 2 divisors, whose sum is σ = 104601239442. Its totient is φ = 104601239440.

The previous prime is 104601239419. The next prime is 104601239527. The reversal of 104601239441 is 144932106401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64729536400 + 39871703041 = 254420^2 + 199679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104601239441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (104601239401) 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, 52300619720 + 52300619721.

It is an arithmetic number, because the mean of its divisors is an integer number (52300619721).

Almost surely, 2104601239441 is an apocalyptic number.

It is an amenable number.

104601239441 is a deficient number, since it is larger than the sum of its proper divisors (1).

104601239441 is an equidigital number, since it uses as much as digits as its factorization.

104601239441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 104601239441 in words is "one hundred four billion, six hundred one million, two hundred thirty-nine thousand, four hundred forty-one".