Search a number
-
+
100003230013 is a prime number
BaseRepresentation
bin101110100100010101…
…0000011000100111101
3100120010101201102222211
41131020222003010331
53114301311330023
6113535120140421
710140113300311
oct1351052030475
9316111642884
10100003230013
1139458241935
121746aa67711
1395793a09ab
144ba9661b41
152904676a0d
hex1748a8313d

100003230013 has 2 divisors, whose sum is σ = 100003230014. Its totient is φ = 100003230012.

The previous prime is 100003230001. The next prime is 100003230049. The reversal of 100003230013 is 310032300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99993823524 + 9406489 = 316218^2 + 3067^2 .

It is an emirp because it is prime and its reverse (310032300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100003230013 - 225 = 99969675581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100003229975 and 100003230002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100003230073) 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, 50001615006 + 50001615007.

It is an arithmetic number, because the mean of its divisors is an integer number (50001615007).

Almost surely, 2100003230013 is an apocalyptic number.

It is an amenable number.

100003230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003230013 is an equidigital number, since it uses as much as digits as its factorization.

100003230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100003230013 its reverse (310032300001), we get a palindrome (410035530014).

The spelling of 100003230013 in words is "one hundred billion, three million, two hundred thirty thousand, thirteen".