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33116121 = 34408841
BaseRepresentation
bin111111001010…
…0111111011001
32022022110210000
41332110333121
531434203441
63141443213
7551324313
oct176247731
968273700
1033116121
11177696a5
12b110509
136b2644c
1445807b3
152d922b6
hex1f94fd9

33116121 has 10 divisors (see below), whose sum is σ = 49469882. Its totient is φ = 22077360.

The previous prime is 33116081. The next prime is 33116123. The reversal of 33116121 is 12161133.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 3956121 = 5400^2 + 1989^2 .

It is not a de Polignac number, because 33116121 - 211 = 33114073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33116094 and 33116103.

It is not an unprimeable number, because it can be changed into a prime (33116123) 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 in 9 ways as a sum of consecutive naturals, for example, 204340 + ... + 204501.

Almost surely, 233116121 is an apocalyptic number.

It is an amenable number.

33116121 is a deficient number, since it is larger than the sum of its proper divisors (16353761).

33116121 is an equidigital number, since it uses as much as digits as its factorization.

33116121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408853 (or 408844 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 33116121 is about 5754.6608066853. The cubic root of 33116121 is about 321.1292169092.

Adding to 33116121 its reverse (12161133), we get a palindrome (45277254).

The spelling of 33116121 in words is "thirty-three million, one hundred sixteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 408841 1226523 3679569 11038707 33116121