Search a number
-
+
10303321313 is a prime number
BaseRepresentation
bin10011001100010000…
…00011010011100001
3222121001111221202002
421212020003103201
5132100122240223
64422215533345
7513216533435
oct114610032341
928531457662
1010303321313
114407a5788a
121bb668a255
13c827abc3c
146da55c9c5
15404825e28
hex2662034e1

10303321313 has 2 divisors, whose sum is σ = 10303321314. Its totient is φ = 10303321312.

The previous prime is 10303321297. The next prime is 10303321321. The reversal of 10303321313 is 31312330301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9540014929 + 763306384 = 97673^2 + 27628^2 .

It is a cyclic number.

It is not a de Polignac number, because 10303321313 - 24 = 10303321297 is a prime.

It is not a weakly prime, because it can be changed into another prime (10303321333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151660656 + 5151660657.

It is an arithmetic number, because the mean of its divisors is an integer number (5151660657).

Almost surely, 210303321313 is an apocalyptic number.

It is an amenable number.

10303321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10303321313 is an equidigital number, since it uses as much as digits as its factorization.

10303321313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10303321313 its reverse (31312330301), we get a palindrome (41615651614).

The spelling of 10303321313 in words is "ten billion, three hundred three million, three hundred twenty-one thousand, three hundred thirteen".