Search a number
-
+
100013303053 is a prime number
BaseRepresentation
bin101110100100101000…
…0011110010100001101
3100120011002200012121101
41131021100132110031
53114311401144203
6113540120103101
710140265022626
oct1351120362415
9316132605541
10100013303053
11394629a1964
1217472304a91
13957b4b9881
144baab24a4d
1529054b641d
hex174941e50d

100013303053 has 2 divisors, whose sum is σ = 100013303054. Its totient is φ = 100013303052.

The previous prime is 100013302967. The next prime is 100013303059. The reversal of 100013303053 is 350303310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84005486569 + 16007816484 = 289837^2 + 126522^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013303053 - 213 = 100013294861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100013303053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013303059) 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, 50006651526 + 50006651527.

It is an arithmetic number, because the mean of its divisors is an integer number (50006651527).

Almost surely, 2100013303053 is an apocalyptic number.

It is an amenable number.

100013303053 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013303053 is an equidigital number, since it uses as much as digits as its factorization.

100013303053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 19.

Adding to 100013303053 its reverse (350303310001), we get a palindrome (450316613054).

The spelling of 100013303053 in words is "one hundred billion, thirteen million, three hundred three thousand, fifty-three".