Base | Representation |
---|---|
bin | 10110011010101100… |
… | …10011110100110000 |
3 | 1011001202012001021210 |
4 | 23031112103310300 |
5 | 144121442042430 |
6 | 5310122120120 |
7 | 604145523534 |
oct | 131526236460 |
9 | 34052161253 |
10 | 12035112240 |
11 | 5116563a58 |
12 | 23ba650040 |
13 | 119a5096b8 |
14 | 82255bbc4 |
15 | 4a68a92b0 |
hex | 2cd593d30 |
12035112240 has 160 divisors (see below), whose sum is σ = 39404977920. Its totient is φ = 3030193152.
The previous prime is 12035112179. The next prime is 12035112241. The reversal of 12035112240 is 4221153021.
12035112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (12035112241) 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 31 ways as a sum of consecutive naturals, for example, 1395622 + ... + 1404218.
It is an arithmetic number, because the mean of its divisors is an integer number (246281112).
Almost surely, 212035112240 is an apocalyptic number.
12035112240 is a gapful number since it is divisible by the number (10) 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 12035112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702488960).
12035112240 is an abundant number, since it is smaller than the sum of its proper divisors (27369865680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12035112240 is a wasteful number, since it uses less digits than its factorization.
12035112240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8939 (or 8933 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 21.
Adding to 12035112240 its reverse (4221153021), we get a palindrome (16256265261).
The spelling of 12035112240 in words is "twelve billion, thirty-five million, one hundred twelve thousand, two hundred forty".
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