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42205133 is a prime number
BaseRepresentation
bin1010000011111…
…1111111001101
32221102020120002
42200333333031
541301031013
64104334045
71021511015
oct240777715
987366502
1042205133
1121907383
1212174325
138989469
145868c45
153a8a358
hex283ffcd

42205133 has 2 divisors, whose sum is σ = 42205134. Its totient is φ = 42205132.

The previous prime is 42205129. The next prime is 42205139. The reversal of 42205133 is 33150224.

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., 38217124 + 3988009 = 6182^2 + 1997^2 .

It is a cyclic number.

It is not a de Polignac number, because 42205133 - 22 = 42205129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42205139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21102566 + 21102567.

It is an arithmetic number, because the mean of its divisors is an integer number (21102567).

Almost surely, 242205133 is an apocalyptic number.

It is an amenable number.

42205133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42205133 is an equidigital number, since it uses as much as digits as its factorization.

42205133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42205133 is about 6496.5477755497. The cubic root of 42205133 is about 348.1676565865.

Adding to 42205133 its reverse (33150224), we get a palindrome (75355357).

The spelling of 42205133 in words is "forty-two million, two hundred five thousand, one hundred thirty-three".