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202000200013 is a prime number
BaseRepresentation
bin1011110000100000100…
…1100111000101001101
3201022101202000101002101
42330020021213011031
511302144022400023
6232444141155101
720410516240633
oct2741011470515
9638352011071
10202000200013
1178738935067
123319555ba91
1316082836591
149ac39cd353
1553c3d761ad
hex2f0826714d

202000200013 has 2 divisors, whose sum is σ = 202000200014. Its totient is φ = 202000200012.

The previous prime is 202000199983. The next prime is 202000200047. The reversal of 202000200013 is 310002000202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200093393124 + 1906806889 = 447318^2 + 43667^2 .

It is a cyclic number.

It is not a de Polignac number, because 202000200013 - 29 = 202000199501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202000204013) 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, 101000100006 + 101000100007.

It is an arithmetic number, because the mean of its divisors is an integer number (101000100007).

Almost surely, 2202000200013 is an apocalyptic number.

It is an amenable number.

202000200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202000200013 is an equidigital number, since it uses as much as digits as its factorization.

202000200013 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 202000200013 its reverse (310002000202), we get a palindrome (512002200215).

The spelling of 202000200013 in words is "two hundred two billion, two hundred thousand, thirteen".