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42133313 is a prime number
BaseRepresentation
bin1010000010111…
…0011101000001
32221021121001002
42200232131001
541241231223
64103021345
71021061435
oct240563501
987247032
1042133313
1121868422
121213a855
138962871
14584a9c5
153a73e28
hex282e741

42133313 has 2 divisors, whose sum is σ = 42133314. Its totient is φ = 42133312.

The previous prime is 42133297. The next prime is 42133331. The reversal of 42133313 is 31333124.

Together with next prime (42133331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30217009 + 11916304 = 5497^2 + 3452^2 .

It is a cyclic number.

It is not a de Polignac number, because 42133313 - 24 = 42133297 is a prime.

It is not a weakly prime, because it can be changed into another prime (42133813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21066656 + 21066657.

It is an arithmetic number, because the mean of its divisors is an integer number (21066657).

Almost surely, 242133313 is an apocalyptic number.

It is an amenable number.

42133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

42133313 is an equidigital number, since it uses as much as digits as its factorization.

42133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 20.

The square root of 42133313 is about 6491.0178708736. The cubic root of 42133313 is about 347.9700534631.

Adding to 42133313 its reverse (31333124), we get a palindrome (73466437).

The spelling of 42133313 in words is "forty-two million, one hundred thirty-three thousand, three hundred thirteen".