Search a number
-
+
100303110113 is a prime number
BaseRepresentation
bin101110101101010000…
…1111111111111100001
3100120220021222221011012
41131122201333333201
53120410044010423
6114024551430305
710150414240313
oct1353241777741
9316807887135
10100303110113
11395a1544228
1217533385395
1395c655903b
144bd74037b3
152920b60078
hex175a87ffe1

100303110113 has 2 divisors, whose sum is σ = 100303110114. Its totient is φ = 100303110112.

The previous prime is 100303110097. The next prime is 100303110139. The reversal of 100303110113 is 311011303001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93604178704 + 6698931409 = 305948^2 + 81847^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303110113 - 24 = 100303110097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100303110143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151555056 + 50151555057.

It is an arithmetic number, because the mean of its divisors is an integer number (50151555057).

Almost surely, 2100303110113 is an apocalyptic number.

It is an amenable number.

100303110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303110113 is an equidigital number, since it uses as much as digits as its factorization.

100303110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100303110113 its reverse (311011303001), we get a palindrome (411314413114).

The spelling of 100303110113 in words is "one hundred billion, three hundred three million, one hundred ten thousand, one hundred thirteen".