Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1000100009 is a prime number
BaseRepresentation
bin111011100111000…
…101000010101001
32120200212100022002
4323213011002221
54022011200014
6243123340345
733532465316
oct7347050251
92520770262
101000100009
11473591a37
1223ab216b5
1312c27386c
1496b75d0d
155cc00dde
hex3b9c50a9

1000100009 has 2 divisors, whose sum is σ = 1000100010. Its totient is φ = 1000100008.

The previous prime is 1000099999. The next prime is 1000100033. The reversal of 1000100009 is 9000010001.

1000100009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 961000000 + 39100009 = 31000^2 + 6253^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100009 - 24 = 1000099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000100609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050004 + 500050005.

It is an arithmetic number, because the mean of its divisors is an integer number (500050005).

Almost surely, 21000100009 is an apocalyptic number.

It is an amenable number.

1000100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100009 is an equidigital number, since it uses as much as digits as its factorization.

1000100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1000100009 is about 31624.3578432828. The cubic root of 1000100009 is about 1000.0333352221.

The spelling of 1000100009 in words is "one billion, one hundred thousand, nine".