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1000200021113 is a prime number
BaseRepresentation
bin11101000111000001001…
…00010010010001111001
310112121200122210112212102
432203200210102101321
5112341402201133423
62043252513353145
7132155613621656
oct16434044222171
93477618715772
101000200021113
113562009227a7
12141a18b687b5
137341a85c627
14365a4c32c2d
151b03e0c6c28
hexe8e0912479

1000200021113 has 2 divisors, whose sum is σ = 1000200021114. Its totient is φ = 1000200021112.

The previous prime is 1000200021091. The next prime is 1000200021179. The reversal of 1000200021113 is 3111200020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 809922601849 + 190277419264 = 899957^2 + 436208^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000200021113 - 222 = 1000195826809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000200021094 and 1000200021103.

It is not a weakly prime, because it can be changed into another prime (1000200026113) 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, 500100010556 + 500100010557.

It is an arithmetic number, because the mean of its divisors is an integer number (500100010557).

Almost surely, 21000200021113 is an apocalyptic number.

It is an amenable number.

1000200021113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000200021113 is an equidigital number, since it uses as much as digits as its factorization.

1000200021113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1000200021113 its reverse (3111200020001), we get a palindrome (4111400041114).

The spelling of 1000200021113 in words is "one trillion, two hundred million, twenty-one thousand, one hundred thirteen".