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3010000013 is a prime number
BaseRepresentation
bin1011001101101000…
…1111010010001101
321202202211211202222
42303122033102031
522131030000023
61214402425125
7134406402146
oct26332172215
97682754688
103010000013
111305080619
127000621a5
1338c7a60c7
14207a8aacd
151293bbcc8
hexb368f48d

3010000013 has 2 divisors, whose sum is σ = 3010000014. Its totient is φ = 3010000012.

The previous prime is 3010000001. The next prime is 3010000051. The reversal of 3010000013 is 3100000103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2806138729 + 203861284 = 52973^2 + 14278^2 .

It is a cyclic number.

It is not a de Polignac number, because 3010000013 - 24 = 3009999997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3010000073) 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, 1505000006 + 1505000007.

It is an arithmetic number, because the mean of its divisors is an integer number (1505000007).

Almost surely, 23010000013 is an apocalyptic number.

It is an amenable number.

3010000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3010000013 is an equidigital number, since it uses as much as digits as its factorization.

3010000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3010000013 is about 54863.4670158567. The cubic root of 3010000013 is about 1443.8502946436.

Adding to 3010000013 its reverse (3100000103), we get a palindrome (6110000116).

The spelling of 3010000013 in words is "three billion, ten million, thirteen", and thus it is an aban number and an uban number.