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1000010000083 is a prime number
BaseRepresentation
bin11101000110101010011…
…11011010011011010011
310112121012102020111000111
432203111033122123103
5112341010030000313
62043222004502151
7132151115515543
oct16432517323323
93477172214014
101000010000083
11356113636126
121419853aa957
13733ba38a453
14365878cb323
151b02c58e43d
hexe8d53da6d3

1000010000083 has 2 divisors, whose sum is σ = 1000010000084. Its totient is φ = 1000010000082.

The previous prime is 1000010000081. The next prime is 1000010000123. The reversal of 1000010000083 is 3800000100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1000010000083 - 21 = 1000010000081 is a prime.

Together with 1000010000081, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000010000081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005000041 + 500005000042.

It is an arithmetic number, because the mean of its divisors is an integer number (500005000042).

Almost surely, 21000010000083 is an apocalyptic number.

1000010000083 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010000083 is an equidigital number, since it uses as much as digits as its factorization.

1000010000083 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 13.

Adding to 1000010000083 its reverse (3800000100001), we get a palindrome (4800010100084).

The spelling of 1000010000083 in words is "one trillion, ten million, eighty-three", and thus it is an aban number and an uban number.