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2042165315161 is a prime number
BaseRepresentation
bin11101101101111010100…
…010011100011001011001
321020020012000022210110101
4131231322202130121121
5231424323310041121
64202054030015401
7300353521525036
oct35557242343131
97206160283411
102042165315161
11718094099194
1228b951047561
1311a7630c2aba
1470bac86a38d
15381c4b2e491
hex1db7a89c659

2042165315161 has 2 divisors, whose sum is σ = 2042165315162. Its totient is φ = 2042165315160.

The previous prime is 2042165315111. The next prime is 2042165315167. The reversal of 2042165315161 is 1615135612402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1619398773136 + 422766542025 = 1272556^2 + 650205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042165315161 - 29 = 2042165314649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2042165315161.

It is not a weakly prime, because it can be changed into another prime (2042165315167) 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, 1021082657580 + 1021082657581.

It is an arithmetic number, because the mean of its divisors is an integer number (1021082657581).

Almost surely, 22042165315161 is an apocalyptic number.

It is an amenable number.

2042165315161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042165315161 is an equidigital number, since it uses as much as digits as its factorization.

2042165315161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 2042165315161 in words is "two trillion, forty-two billion, one hundred sixty-five million, three hundred fifteen thousand, one hundred sixty-one".