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1012117055197 is a prime number
BaseRepresentation
bin11101011101001101110…
…00001010011011011101
310120202110011210121101011
432232212320022123131
5113040303431231242
62052543221015221
7133060130010403
oct16564670123335
93522404717334
101012117055197
113602667678a6
121441a3b54511
1374599765aa1
1436db5815473
151b4da409d17
hexeba6e0a6dd

1012117055197 has 2 divisors, whose sum is σ = 1012117055198. Its totient is φ = 1012117055196.

The previous prime is 1012117055123. The next prime is 1012117055207. The reversal of 1012117055197 is 7915507112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 958335270916 + 53781784281 = 978946^2 + 231909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012117055197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012117055797) 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, 506058527598 + 506058527599.

It is an arithmetic number, because the mean of its divisors is an integer number (506058527599).

Almost surely, 21012117055197 is an apocalyptic number.

It is an amenable number.

1012117055197 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012117055197 is an equidigital number, since it uses as much as digits as its factorization.

1012117055197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 40.

The spelling of 1012117055197 in words is "one trillion, twelve billion, one hundred seventeen million, fifty-five thousand, one hundred ninety-seven".