Search a number
-
+
9101000833 is a prime number
BaseRepresentation
bin10000111100111011…
…00100000010000001
3212111021010202002221
420132131210002001
5122114324011313
64103030011041
7441350142061
oct103635440201
925437122087
109101000833
1139503066a1
12191baa6a81
13b206844c2
146249c73a1
15383eccc8d
hex21e764081

9101000833 has 2 divisors, whose sum is σ = 9101000834. Its totient is φ = 9101000832.

The previous prime is 9101000827. The next prime is 9101000921. The reversal of 9101000833 is 3380001019.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5298675264 + 3802325569 = 72792^2 + 61663^2 .

It is an emirp because it is prime and its reverse (3380001019) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9101000833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9101000798 and 9101000807.

It is not a weakly prime, because it can be changed into another prime (9101006833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550500416 + 4550500417.

It is an arithmetic number, because the mean of its divisors is an integer number (4550500417).

Almost surely, 29101000833 is an apocalyptic number.

It is an amenable number.

9101000833 is a deficient number, since it is larger than the sum of its proper divisors (1).

9101000833 is an equidigital number, since it uses as much as digits as its factorization.

9101000833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 9101000833 is about 95399.1657877573. The cubic root of 9101000833 is about 2087.8360142673.

The spelling of 9101000833 in words is "nine billion, one hundred one million, eight hundred thirty-three", and thus it is an aban number.