Search a number
-
+
10004033009 is a prime number
BaseRepresentation
bin10010101000100100…
…10110110111110001
3221211012100112101002
421110102112313301
5130442013024014
64332405051345
7502623606665
oct112422266761
927735315332
1010004033009
11427401a083
121b323b6b55
13c357a0079
146ac8d28a5
153d8407dde
hex254496df1

10004033009 has 2 divisors, whose sum is σ = 10004033010. Its totient is φ = 10004033008.

The previous prime is 10004032949. The next prime is 10004033059. The reversal of 10004033009 is 90033040001.

10004033009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9428992609 + 575040400 = 97103^2 + 23980^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004033009 - 216 = 10003967473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10004033059) 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, 5002016504 + 5002016505.

It is an arithmetic number, because the mean of its divisors is an integer number (5002016505).

Almost surely, 210004033009 is an apocalyptic number.

It is an amenable number.

10004033009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004033009 is an equidigital number, since it uses as much as digits as its factorization.

10004033009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 10004033009 in words is "ten billion, four million, thirty-three thousand, nine".