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3004050013 is a prime number
BaseRepresentation
bin1011001100001110…
…0010101001011101
321202100122112220121
42303003202221131
522123014100023
61214031114541
7134305001206
oct26303425135
97670575817
103004050013
111301787268
126ba072a51
1338b4a1ab3
14206d7c5ad
15128ae3d5d
hexb30e2a5d

3004050013 has 2 divisors, whose sum is σ = 3004050014. Its totient is φ = 3004050012.

The previous prime is 3004050011. The next prime is 3004050037. The reversal of 3004050013 is 3100504003.

3004050013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2924430084 + 79619929 = 54078^2 + 8923^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004050013 - 21 = 3004050011 is a prime.

Together with 3004050011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3004050011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502025006 + 1502025007.

It is an arithmetic number, because the mean of its divisors is an integer number (1502025007).

Almost surely, 23004050013 is an apocalyptic number.

It is an amenable number.

3004050013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004050013 is an equidigital number, since it uses as much as digits as its factorization.

3004050013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3004050013 is about 54809.2146723523. The cubic root of 3004050013 is about 1442.8982928587.

Adding to 3004050013 its reverse (3100504003), we get a palindrome (6104554016).

The spelling of 3004050013 in words is "three billion, four million, fifty thousand, thirteen".