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42073133 is a prime number
BaseRepresentation
bin1010000001111…
…1110000101101
32221011112111012
42200133300231
541232320013
64101435005
71020421124
oct240376055
987145435
1042073133
1121827193
121210ba65
13894135b
145832abb
153a611a8
hex281fc2d

42073133 has 2 divisors, whose sum is σ = 42073134. Its totient is φ = 42073132.

The previous prime is 42073127. The next prime is 42073153. The reversal of 42073133 is 33137024.

It is a happy number.

42073133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27227524 + 14845609 = 5218^2 + 3853^2 .

It is a cyclic number.

It is not a de Polignac number, because 42073133 - 24 = 42073117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42073099 and 42073108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42073123) 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, 21036566 + 21036567.

It is an arithmetic number, because the mean of its divisors is an integer number (21036567).

Almost surely, 242073133 is an apocalyptic number.

It is an amenable number.

42073133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42073133 is an equidigital number, since it uses as much as digits as its factorization.

42073133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 42073133 is about 6486.3805777953. The cubic root of 42073133 is about 347.8043032578.

The spelling of 42073133 in words is "forty-two million, seventy-three thousand, one hundred thirty-three".