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3003313013 is a prime number
BaseRepresentation
bin1011001100000010…
…1110101101110101
321202022021002221022
42303000232231311
522122322004023
61214003230525
7134265511421
oct26300565565
97668232838
103003313013
111301323578
126b9978445
1338b2a44bc
14206c29b81
151289ea7c8
hexb302eb75

3003313013 has 2 divisors, whose sum is σ = 3003313014. Its totient is φ = 3003313012.

The previous prime is 3003313003. The next prime is 3003313039. The reversal of 3003313013 is 3103133003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2806668484 + 196644529 = 52978^2 + 14023^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003313013 - 214 = 3003296629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3003312982 and 3003313000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3003313003) 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, 1501656506 + 1501656507.

It is an arithmetic number, because the mean of its divisors is an integer number (1501656507).

Almost surely, 23003313013 is an apocalyptic number.

It is an amenable number.

3003313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003313013 is an equidigital number, since it uses as much as digits as its factorization.

3003313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 3003313013 is about 54802.4909379127. The cubic root of 3003313013 is about 1442.7802851676.

Adding to 3003313013 its reverse (3103133003), we get a palindrome (6106446016).

The spelling of 3003313013 in words is "three billion, three million, three hundred thirteen thousand, thirteen".