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33042131 is a prime number
BaseRepresentation
bin111111000001…
…0111011010011
32022011201021122
41332002323103
531424322011
63140112455
7550565513
oct176027323
968151248
1033042131
1117719051
12b09572b
136acb875
144561843
152d7a3db
hex1f82ed3

33042131 has 2 divisors, whose sum is σ = 33042132. Its totient is φ = 33042130.

The previous prime is 33042109. The next prime is 33042137. The reversal of 33042131 is 13124033.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33042131 is a prime.

It is a super-3 number, since 3×330421313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33042137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16521065 + 16521066.

It is an arithmetic number, because the mean of its divisors is an integer number (16521066).

Almost surely, 233042131 is an apocalyptic number.

33042131 is a deficient number, since it is larger than the sum of its proper divisors (1).

33042131 is an equidigital number, since it uses as much as digits as its factorization.

33042131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 33042131 is about 5748.2285097237. The cubic root of 33042131 is about 320.8898765956.

Adding to 33042131 its reverse (13124033), we get a palindrome (46166164).

The spelling of 33042131 in words is "thirty-three million, forty-two thousand, one hundred thirty-one".