Sunday Times Teaser 2564 – 11/11/11
Published: 13 November 2011 (link)
As it was 11/11/11 last Friday, I have been looking at numbers that are divisible by 11.
I have written down an eight- figure number using the digits 2, 3, 4, 5, 6, 7, 8 and 9 in some order. For any two adjacent digits in the number, either one is a multiple of the other or the two digits differ by one.
My number is divisible by its first digit, its last digit, and (of course) by 11
What is the eight-figure number?