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2022006016729 is a prime number
BaseRepresentation
bin11101011011001000111…
…100110100101011011001
321011022011002001022211201
4131123020330310223121
5231112032020013404
64144521410154201
7266041123363156
oct35331074645331
97138132038751
102022006016729
1170a589756976
12287a65882961
1311889c711b4a
146dc1935922d
15378e4de8ca4
hex1d6c8f34ad9

2022006016729 has 2 divisors, whose sum is σ = 2022006016730. Its totient is φ = 2022006016728.

The previous prime is 2022006016727. The next prime is 2022006016787. The reversal of 2022006016729 is 9276106002202.

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., 1149509911104 + 872496105625 = 1072152^2 + 934075^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022006016729 - 21 = 2022006016727 is a prime.

Together with 2022006016727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2022006016727) 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, 1011003008364 + 1011003008365.

It is an arithmetic number, because the mean of its divisors is an integer number (1011003008365).

Almost surely, 22022006016729 is an apocalyptic number.

It is an amenable number.

2022006016729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022006016729 is an equidigital number, since it uses as much as digits as its factorization.

2022006016729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 2022006016729 in words is "two trillion, twenty-two billion, six million, sixteen thousand, seven hundred twenty-nine".