Base | Representation |
---|---|
bin | 111111001100… |
… | …0011010000000 |
3 | 2022100011222012 |
4 | 1332120122000 |
5 | 31440130422 |
6 | 3142032052 |
7 | 551413151 |
oct | 176303200 |
9 | 68304865 |
10 | 33130112 |
11 | 17779164 |
12 | b118628 |
13 | 6b2c922 |
14 | 4585928 |
15 | 2d964e2 |
hex | 1f98680 |
33130112 has 32 divisors (see below), whose sum is σ = 67417920. Its totient is φ = 16209664.
The previous prime is 33130099. The next prime is 33130157. The reversal of 33130112 is 21103133.
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×331301122 = 2195208642265088, which contains 22 as substring.
It is an unprimeable number.
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 in 3 ways as a sum of consecutive naturals, for example, 3263 + ... + 8769.
It is an arithmetic number, because the mean of its divisors is an integer number (2106810).
Almost surely, 233130112 is an apocalyptic number.
33130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33708960).
33130112 is an abundant number, since it is smaller than the sum of its proper divisors (34287808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33130112 is an equidigital number, since it uses as much as digits as its factorization.
33130112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5568 (or 5556 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 14.
The square root of 33130112 is about 5755.8763016590. The cubic root of 33130112 is about 321.1744344262.
Adding to 33130112 its reverse (21103133), we get a palindrome (54233245).
The spelling of 33130112 in words is "thirty-three million, one hundred thirty thousand, one hundred twelve".
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