Search a number
-
+
100403121233 is a prime number
BaseRepresentation
bin101110110000001111…
…1100000110001010001
3100121011021012000121202
41131200133200301101
53121111144334413
6114042523200545
710153040310032
oct1354037406121
9317137160552
10100403121233
1139642a43048
1217560976155
1396111a490c
144c067d8a89
152929817e58
hex17607e0c51

100403121233 has 2 divisors, whose sum is σ = 100403121234. Its totient is φ = 100403121232.

The previous prime is 100403121193. The next prime is 100403121307. The reversal of 100403121233 is 332121304001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96144645184 + 4258476049 = 310072^2 + 65257^2 .

It is a cyclic number.

It is not a de Polignac number, because 100403121233 - 220 = 100402072657 is a prime.

It is not a weakly prime, because it can be changed into another prime (100403124233) 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, 50201560616 + 50201560617.

It is an arithmetic number, because the mean of its divisors is an integer number (50201560617).

Almost surely, 2100403121233 is an apocalyptic number.

It is an amenable number.

100403121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100403121233 is an equidigital number, since it uses as much as digits as its factorization.

100403121233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100403121233 its reverse (332121304001), we get a palindrome (432524425234).

The spelling of 100403121233 in words is "one hundred billion, four hundred three million, one hundred twenty-one thousand, two hundred thirty-three".