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 1012
- 1012 is the smallest number n such that the period length of the 'Reverse and Subtract' trajectory of n is greater than 1
- 1012 is the smallest multiple of 11 in which the even positioned digits from left are odd and the odd positioned ones are even
- If considered in base 3, 1012 is the smallest number that doubles when reversed
Common Properties of 1012
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.