Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 110
- 110 is the smallest number that is the product of its two different non-trivial substrings
- 110 is the smallest non-palindrome having a non-trivial (more than a single digit) palindromic largest proper divisor
Rare Properties of 110
The number is called pronic if it is the product of two consecutive numbers.
They are twice triangular numbers.
Common Properties of 110
A positive integer greater than 1 that is not prime is called composite.
Composite numbers are opposite to prime numbers.
The number n is deficient if the sum of all its positive divisors except itself is less than n.
Compare with perfect and abundant numbers.
A number is even if it is divisible by 2.
Numbers that are not even are odd. Compare with another pair -- evil and odious numbers.
The number n is odious if it has an odd number of 1's in its binary expansion.
Guess what evil numbers are.
A number is said to be square-free if its prime decomposition contains no repeated factors.