Date modified: Thu 2023-05-11 . 11:51 AM
Date created: Sat 2023-10-07 . 09:02 PM
# Frodo's number. Frodo thinks of a positive integer $N$ that satisfies the following properties (1) The sum of the digits in $N$ equals to the product of the digits in $N$. (2) Exactly half of the digits in $N$ are $1$'s. (3) $N$ is the largest such number. What is $N$? ///answer/// 4211 . //// #puzzle