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2002000200061 is a prime number
BaseRepresentation
bin11101001000100000100…
…000101100000101111101
321002101111211120112121211
4131020200200230011331
5230300044022400221
64131412312124421
7264432300632101
oct35104040540575
97071454515554
102002000200061
11702052a14794
12284001996711
13116a31a7b7c4
146cc7c39b901
15371238ce6e1
hex1d22082c17d

2002000200061 has 2 divisors, whose sum is σ = 2002000200062. Its totient is φ = 2002000200060.

The previous prime is 2002000200047. The next prime is 2002000200089. The reversal of 2002000200061 is 1600020002002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1521598727961 + 480401472100 = 1233531^2 + 693110^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000200061 - 211 = 2002000198013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002001200061) 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, 1001000100030 + 1001000100031.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000100031).

Almost surely, 22002000200061 is an apocalyptic number.

It is an amenable number.

2002000200061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000200061 is an equidigital number, since it uses as much as digits as its factorization.

2002000200061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2002000200061 its reverse (1600020002002), we get a palindrome (3602020202063).

The spelling of 2002000200061 in words is "two trillion, two billion, two hundred thousand, sixty-one".