Search a number
-
+
2201605266617 is a prime number
BaseRepresentation
bin100000000010011001111…
…001100101110010111001
321210110201122201112021122
4200002121321211302321
5242032341422012432
64403223053315025
7315026554665461
oct40023171456271
97713648645248
102201605266617
11779771860609
122b6829195a75
1312c7c2311543
14787b5c36ba1
153c407341612
hex20099e65cb9

2201605266617 has 2 divisors, whose sum is σ = 2201605266618. Its totient is φ = 2201605266616.

The previous prime is 2201605266587. The next prime is 2201605266673. The reversal of 2201605266617 is 7166625061022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2089747795216 + 111857471401 = 1445596^2 + 334451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201605266617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201605266317) 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, 1100802633308 + 1100802633309.

It is an arithmetic number, because the mean of its divisors is an integer number (1100802633309).

Almost surely, 22201605266617 is an apocalyptic number.

It is an amenable number.

2201605266617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201605266617 is an equidigital number, since it uses as much as digits as its factorization.

2201605266617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2201605266617 in words is "two trillion, two hundred one billion, six hundred five million, two hundred sixty-six thousand, six hundred seventeen".