Search a number
-
+
1314330041 is a prime number
BaseRepresentation
bin100111001010111…
…0001010110111001
310101121010212212102
41032111301112321
510142432030131
6334230353145
744366423003
oct11625612671
93347125772
101314330041
116149a5682
123081bb7b5
1317c3b46ab
14c67b1373
157a5c11cb
hex4e5715b9

1314330041 has 2 divisors, whose sum is σ = 1314330042. Its totient is φ = 1314330040.

The previous prime is 1314330013. The next prime is 1314330049. The reversal of 1314330041 is 1400334131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 873498025 + 440832016 = 29555^2 + 20996^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314330041 - 222 = 1310135737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1314329995 and 1314330022.

It is not a weakly prime, because it can be changed into another prime (1314330049) 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, 657165020 + 657165021.

It is an arithmetic number, because the mean of its divisors is an integer number (657165021).

Almost surely, 21314330041 is an apocalyptic number.

It is an amenable number.

1314330041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314330041 is an equidigital number, since it uses as much as digits as its factorization.

1314330041 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.

The square root of 1314330041 is about 36253.6900328780. The cubic root of 1314330041 is about 1095.3884184614.

Adding to 1314330041 its reverse (1400334131), we get a palindrome (2714664172).

The spelling of 1314330041 in words is "one billion, three hundred fourteen million, three hundred thirty thousand, forty-one".