Search a number
-
+
113201401132993 is a prime number
BaseRepresentation
bin11001101111010011000001…
…010011010111011111000001
3112211210221121021120200012011
4121233103001103113133001
5104314142432142223433
61040432001124332521
732562350151252535
oct3157230123273701
9484727537520164
10113201401132993
1133084498870018
1210843234244141
134b21b004a78b4
141dd4d97043bc5
15d149653e63cd
hex66f4c14d77c1

113201401132993 has 2 divisors, whose sum is σ = 113201401132994. Its totient is φ = 113201401132992.

The previous prime is 113201401132951. The next prime is 113201401133027. The reversal of 113201401132993 is 399231104102311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58384376695089 + 54817024437904 = 7640967^2 + 7403852^2 .

It is a cyclic number.

It is not a de Polignac number, because 113201401132993 - 29 = 113201401132481 is a prime.

It is not a weakly prime, because it can be changed into another prime (113201401132913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56600700566496 + 56600700566497.

It is an arithmetic number, because the mean of its divisors is an integer number (56600700566497).

Almost surely, 2113201401132993 is an apocalyptic number.

It is an amenable number.

113201401132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

113201401132993 is an equidigital number, since it uses as much as digits as its factorization.

113201401132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 113201401132993 in words is "one hundred thirteen trillion, two hundred one billion, four hundred one million, one hundred thirty-two thousand, nine hundred ninety-three".