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42065081 is a prime number
BaseRepresentation
bin1010000001110…
…1110010111001
32221011010102222
42200131302321
541232040311
64101333425
71020355502
oct240356271
987133388
1042065081
1121821133
1212107275
13893a7a6
14582dba9
153a5dadb
hex281dcb9

42065081 has 2 divisors, whose sum is σ = 42065082. Its totient is φ = 42065080.

The previous prime is 42065077. The next prime is 42065083. The reversal of 42065081 is 18056024.

42065081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39175081 + 2890000 = 6259^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 42065081 - 22 = 42065077 is a prime.

It is a super-2 number, since 2×420650812 = 3538942079073122, which contains 22 as substring.

Together with 42065083, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42065081.

It is not a weakly prime, because it can be changed into another prime (42065083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21032540 + 21032541.

It is an arithmetic number, because the mean of its divisors is an integer number (21032541).

Almost surely, 242065081 is an apocalyptic number.

It is an amenable number.

42065081 is a deficient number, since it is larger than the sum of its proper divisors (1).

42065081 is an equidigital number, since it uses as much as digits as its factorization.

42065081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 42065081 is about 6485.7598629613. The cubic root of 42065081 is about 347.7821141257.

The spelling of 42065081 in words is "forty-two million, sixty-five thousand, eighty-one".