Search a number
-
+
1009200013 is a prime number
BaseRepresentation
bin111100001001110…
…010101110001101
32121022222200011021
4330021302232031
54031323400023
6244050354141
734003026043
oct7411625615
92538880137
101009200013
114787379a8
12241b8b951
1313110b893
1498064393
155d8ec35d
hex3c272b8d

1009200013 has 2 divisors, whose sum is σ = 1009200014. Its totient is φ = 1009200012.

The previous prime is 1009200007. The next prime is 1009200047. The reversal of 1009200013 is 3100029001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 749281129 + 259918884 = 27373^2 + 16122^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009200013 - 221 = 1007102861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1009200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009204013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504600006 + 504600007.

It is an arithmetic number, because the mean of its divisors is an integer number (504600007).

Almost surely, 21009200013 is an apocalyptic number.

It is an amenable number.

1009200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009200013 is an equidigital number, since it uses as much as digits as its factorization.

1009200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1009200013 is about 31767.9085399086. The cubic root of 1009200013 is about 1003.0573143035.

Adding to 1009200013 its reverse (3100029001), we get a palindrome (4109229014).

The spelling of 1009200013 in words is "one billion, nine million, two hundred thousand, thirteen".