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20002020013 is a prime number
BaseRepresentation
bin10010101000001101…
…101001101010101101
31220121222022220012001
4102220031221222231
5311431004120023
613104440412301
71305445236103
oct225015515255
956558286161
1020002020013
118534689758
123a62777091
131b69c34201
14d7a68dc73
157c10196ad
hex4a8369aad

20002020013 has 2 divisors, whose sum is σ = 20002020014. Its totient is φ = 20002020012.

The previous prime is 20002019963. The next prime is 20002020029. The reversal of 20002020013 is 31002020002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14572835524 + 5429184489 = 120718^2 + 73683^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002020013 - 229 = 19465149101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002020113) 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, 10001010006 + 10001010007.

It is an arithmetic number, because the mean of its divisors is an integer number (10001010007).

Almost surely, 220002020013 is an apocalyptic number.

It is an amenable number.

20002020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002020013 is an equidigital number, since it uses as much as digits as its factorization.

20002020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20002020013 its reverse (31002020002), we get a palindrome (51004040015).

The spelling of 20002020013 in words is "twenty billion, two million, twenty thousand, thirteen".