Search a number
-
+
113310110113 is a prime number
BaseRepresentation
bin110100110000111001…
…1110001000110100001
3101211110202221222210221
41221201303301012201
53324024342010423
6124015352523041
711120634021154
oct1514163610641
9354422858727
10113310110113
114406666a902
1219b633b0481
13a8ba20bc45
1456aca71c9b
152e329e5e5d
hex1a61cf11a1

113310110113 has 2 divisors, whose sum is σ = 113310110114. Its totient is φ = 113310110112.

The previous prime is 113310110101. The next prime is 113310110203. The reversal of 113310110113 is 311011013311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94327608384 + 18982501729 = 307128^2 + 137777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113310110113 is a prime.

It is not a weakly prime, because it can be changed into another prime (113310110413) 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, 56655055056 + 56655055057.

It is an arithmetic number, because the mean of its divisors is an integer number (56655055057).

Almost surely, 2113310110113 is an apocalyptic number.

It is an amenable number.

113310110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

113310110113 is an equidigital number, since it uses as much as digits as its factorization.

113310110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 113310110113 its reverse (311011013311), we get a palindrome (424321123424).

The spelling of 113310110113 in words is "one hundred thirteen billion, three hundred ten million, one hundred ten thousand, one hundred thirteen".