Base | Representation |
---|---|
bin | 100001001000111… |
… | …1100011101000000 |
3 | 2212111102110200001 |
4 | 1002101330131000 |
5 | 4234133002240 |
6 | 302202005344 |
7 | 36361563304 |
oct | 10221743500 |
9 | 2774373601 |
10 | 1112000320 |
11 | 520771332 |
12 | 2704a6854 |
13 | 1494c2b72 |
14 | a7983d04 |
15 | 6795689a |
hex | 4247c740 |
1112000320 has 84 divisors (see below), whose sum is σ = 2768506020. Its totient is φ = 425396224.
The previous prime is 1112000303. The next prime is 1112000321. The reversal of 1112000320 is 230002111.
It can be written as a sum of positive squares in 2 ways, for example, as 731594304 + 380406016 = 27048^2 + 19504^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 1112000297 and 1112000306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1112000321) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165996 + ... + 172564.
It is an arithmetic number, because the mean of its divisors is an integer number (32958405).
Almost surely, 21112000320 is an apocalyptic number.
1112000320 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 1112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384253010).
1112000320 is an abundant number, since it is smaller than the sum of its proper divisors (1656505700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1112000320 is an equidigital number, since it uses as much as digits as its factorization.
1112000320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6632 (or 6599 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 1112000320 is about 33346.6687991469. The cubic root of 1112000320 is about 1036.0203928545.
Adding to 1112000320 its reverse (230002111), we get a palindrome (1342002431).
The spelling of 1112000320 in words is "one billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.
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