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3000012013 is a prime number
BaseRepresentation
bin1011001011010000…
…1000110011101101
321202002001101211001
42302310020303231
522121000341023
61213404400301
7134225452465
oct26264106355
97662041731
103000012013
1112aa479479
126b8846091
1338a6b9b4b
1420660aba5
151285976ad
hexb2d08ced

3000012013 has 2 divisors, whose sum is σ = 3000012014. Its totient is φ = 3000012012.

The previous prime is 3000012007. The next prime is 3000012019. The reversal of 3000012013 is 3102100003.

3000012013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (3000012007) and next prime (3000012019).

It can be written as a sum of positive squares in only one way, i.e., 1902878884 + 1097133129 = 43622^2 + 33123^2 .

It is an emirp because it is prime and its reverse (3102100003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3000012013 - 29 = 3000011501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000012019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500006006 + 1500006007.

It is an arithmetic number, because the mean of its divisors is an integer number (1500006007).

Almost surely, 23000012013 is an apocalyptic number.

It is an amenable number.

3000012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000012013 is an equidigital number, since it uses as much as digits as its factorization.

3000012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3000012013 is about 54772.3654135916. The cubic root of 3000012013 is about 1442.2514953875.

Adding to 3000012013 its reverse (3102100003), we get a palindrome (6102112016).

The spelling of 3000012013 in words is "three billion, twelve thousand, thirteen".