Base | Representation |
---|---|
bin | 10110011010001110… |
… | …00010101111101000 |
3 | 1011001110122201102010 |
4 | 23031013002233220 |
5 | 144114431010440 |
6 | 5305500235520 |
7 | 604066514541 |
oct | 131507025750 |
9 | 34043581363 |
10 | 12031110120 |
11 | 5114280117 |
12 | 23b923bba0 |
13 | 1199737b93 |
14 | 821bd94c8 |
15 | 4a6368580 |
hex | 2cd1c2be8 |
12031110120 has 128 divisors (see below), whose sum is σ = 38272227840. Its totient is φ = 3015168000.
The previous prime is 12031110109. The next prime is 12031110121. The reversal of 12031110120 is 2101113021.
12031110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×120311101203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 12031110096 and 12031110105.
It is not an unprimeable number, because it can be changed into a prime (12031110121) 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, 1528114 + ... + 1535966.
It is an arithmetic number, because the mean of its divisors is an integer number (299001780).
Almost surely, 212031110120 is an apocalyptic number.
12031110120 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 12031110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136113920).
12031110120 is an abundant number, since it is smaller than the sum of its proper divisors (26241117720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12031110120 is a wasteful number, since it uses less digits than its factorization.
12031110120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8635 (or 8631 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
Adding to 12031110120 its reverse (2101113021), we get a palindrome (14132223141).
The spelling of 12031110120 in words is "twelve billion, thirty-one million, one hundred ten thousand, one hundred twenty".
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