Search a number
-
+
113023113017 is a prime number
BaseRepresentation
bin110100101000010110…
…0111101011100111001
3101210201202221000210212
41221100230331130321
53322432404104032
6123531101320505
711110550416013
oct1512054753471
9353652830725
10113023113017
1143a29667721
1219aa3266135
13a872914789
1456828c51b3
152e17704bb2
hex1a50b3d739

113023113017 has 2 divisors, whose sum is σ = 113023113018. Its totient is φ = 113023113016.

The previous prime is 113023113011. The next prime is 113023113053. The reversal of 113023113017 is 710311320311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75587054761 + 37436058256 = 274931^2 + 193484^2 .

It is an emirp because it is prime and its reverse (710311320311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113023113017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113023112983 and 113023113001.

It is not a weakly prime, because it can be changed into another prime (113023113011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56511556508 + 56511556509.

It is an arithmetic number, because the mean of its divisors is an integer number (56511556509).

Almost surely, 2113023113017 is an apocalyptic number.

It is an amenable number.

113023113017 is a deficient number, since it is larger than the sum of its proper divisors (1).

113023113017 is an equidigital number, since it uses as much as digits as its factorization.

113023113017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 113023113017 its reverse (710311320311), we get a palindrome (823334433328).

The spelling of 113023113017 in words is "one hundred thirteen billion, twenty-three million, one hundred thirteen thousand, seventeen".