Search a number
-
+
2033301317 is a prime number
BaseRepresentation
bin111100100110001…
…1011011101000101
312020201000102001012
41321030123131011
513131011120232
6533432412005
7101246530115
oct17114333505
95221012035
102033301317
11953822413
12488b47005
13265336b98
14154087045
15bd78e9b2
hex7931b745

2033301317 has 2 divisors, whose sum is σ = 2033301318. Its totient is φ = 2033301316.

The previous prime is 2033301299. The next prime is 2033301323. The reversal of 2033301317 is 7131033302.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2031665476 + 1635841 = 45074^2 + 1279^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033301317 - 214 = 2033284933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2033301292 and 2033301301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033321317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016650658 + 1016650659.

It is an arithmetic number, because the mean of its divisors is an integer number (1016650659).

Almost surely, 22033301317 is an apocalyptic number.

It is an amenable number.

2033301317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033301317 is an equidigital number, since it uses as much as digits as its factorization.

2033301317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 2033301317 is about 45092.1425195122. The cubic root of 2033301317 is about 1266.8754315725.

Adding to 2033301317 its reverse (7131033302), we get a palindrome (9164334619).

The spelling of 2033301317 in words is "two billion, thirty-three million, three hundred one thousand, three hundred seventeen".