perplexus.info :: Numbers : Alternating Ones and Zeros Crossed 2020 Multiple Puzzle

Alternating Ones and Zeros Crossed 2020 Multiple Puzzle (Posted on 2023-06-25)

A base ten positive integer N simultaneously satisfies the following conditions:

N a multiple of 2020
N has precisely 2020 base ten digits
The base ten digits of N are a string of consecutive 1's followed by a string of consecutive 0's.
For example:111....111000....000

Determine the total number of values of N.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The requiredtotal number of values of N is 504.
For an explanation, refer to the solution submitted by Larry in this location. .

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Larry	2023-06-25 09:21:11

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info