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3100020013 is a prime number
BaseRepresentation
bin1011100011000110…
…1000110100101101
322000001020100000001
42320301220310231
522322101120023
61231340104301
7136551510136
oct27061506455
98001210001
103100020013
111350975a12
12726235091
133a533418c
14215a00c8d
1513224e6ad
hexb8c68d2d

3100020013 has 2 divisors, whose sum is σ = 3100020014. Its totient is φ = 3100020012.

The previous prime is 3100019987. The next prime is 3100020029. The reversal of 3100020013 is 3100200013.

3100020013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2712638889 + 387381124 = 52083^2 + 19682^2 .

It is a cyclic number.

It is not a de Polignac number, because 3100020013 - 213 = 3100011821 is a prime.

It is a super-2 number, since 2×31000200132 = 19220248162001040338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3100020083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550010006 + 1550010007.

It is an arithmetic number, because the mean of its divisors is an integer number (1550010007).

Almost surely, 23100020013 is an apocalyptic number.

It is an amenable number.

3100020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100020013 is an equidigital number, since it uses as much as digits as its factorization.

3100020013 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 3100020013 is about 55677.8233500556. The cubic root of 3100020013 is about 1458.1028735565.

Adding to 3100020013 its reverse (3100200013), we get a palindrome (6200220026).

The spelling of 3100020013 in words is "three billion, one hundred million, twenty thousand, thirteen".