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20230000013 is a prime number
BaseRepresentation
bin10010110101110011…
…010100110110001101
31221012212022110221202
4102311303110312031
5312412340000023
613143223035245
71314214106606
oct226563246615
957185273852
1020230000013
118641342483
123b06b9bb25
131ba5236c12
14d9ca76dad
157d604e128
hex4b5cd4d8d

20230000013 has 2 divisors, whose sum is σ = 20230000014. Its totient is φ = 20230000012.

The previous prime is 20229999961. The next prime is 20230000027. The reversal of 20230000013 is 31000003202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12457461769 + 7772538244 = 111613^2 + 88162^2 .

It is a cyclic number.

It is not a de Polignac number, because 20230000013 - 212 = 20229995917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20229999949 and 20230000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20230000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10115000006 + 10115000007.

It is an arithmetic number, because the mean of its divisors is an integer number (10115000007).

Almost surely, 220230000013 is an apocalyptic number.

It is an amenable number.

20230000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20230000013 is an equidigital number, since it uses as much as digits as its factorization.

20230000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 20230000013 its reverse (31000003202), we get a palindrome (51230003215).

The spelling of 20230000013 in words is "twenty billion, two hundred thirty million, thirteen", and thus it is an aban number.