Base | Representation |
---|---|
bin | 1011101000010111… |
… | …1111010010010000 |
3 | 22001120211202002200 |
4 | 2322011333102100 |
5 | 22343231211422 |
6 | 1233450043200 |
7 | 140240453661 |
oct | 27205772220 |
9 | 8046752080 |
10 | 3122132112 |
11 | 13623a9080 |
12 | 731719500 |
13 | 3a9aa6a68 |
14 | 218919368 |
15 | 13416b2ac |
hex | ba17f490 |
3122132112 has 120 divisors (see below), whose sum is σ = 9860797440. Its totient is φ = 913463040.
The previous prime is 3122132107. The next prime is 3122132147. The reversal of 3122132112 is 2112312213.
3122132112 is a `hidden beast` number, since 312 + 21 + 321 + 12 = 666.
3122132112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11953 + ... + 79919.
It is an arithmetic number, because the mean of its divisors is an integer number (82173312).
Almost surely, 23122132112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3122132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930398720).
3122132112 is an abundant number, since it is smaller than the sum of its proper divisors (6738665328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3122132112 is a wasteful number, since it uses less digits than its factorization.
3122132112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68021 (or 68012 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 3122132112 is about 55876.0423795387. The cubic root of 3122132112 is about 1461.5614919351.
Adding to 3122132112 its reverse (2112312213), we get a palindrome (5234444325).
The spelling of 3122132112 in words is "three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred twelve".
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