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3005550013 is a prime number
BaseRepresentation
bin1011001100100101…
…0000110110111101
321202110110202112011
42303021100312331
522123410100023
61214123211221
7134323516324
oct26311206675
97673422464
103005550013
111302611234
126ba676b11
1338b8a877b
1420724d0bb
15128cdd50d
hexb3250dbd

3005550013 has 2 divisors, whose sum is σ = 3005550014. Its totient is φ = 3005550012.

The previous prime is 3005549957. The next prime is 3005550019. The reversal of 3005550013 is 3100555003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2998986169 + 6563844 = 54763^2 + 2562^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005550013 - 29 = 3005549501 is a prime.

It is a super-3 number, since 3×30055500133 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3005550019) 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, 1502775006 + 1502775007.

It is an arithmetic number, because the mean of its divisors is an integer number (1502775007).

Almost surely, 23005550013 is an apocalyptic number.

It is an amenable number.

3005550013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005550013 is an equidigital number, since it uses as much as digits as its factorization.

3005550013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 3005550013 is about 54822.8967950436. The cubic root of 3005550013 is about 1443.1384117306.

The spelling of 3005550013 in words is "three billion, five million, five hundred fifty thousand, thirteen".