Sunday Times Teaser 2677 – One For Each Day
by Danny Roth
George created a thosand digit number by repeating the same non-zero digit one thousand times. He then replaced its first and last digits with another non-zero digit to create a thousand digit number with only two different digits.
Martha commented that the resulting number was divisible by seven. George added that it was actually divisible by exactly seven of 2, 3, 4, 5, 6, 7, 8, 9 and 11.
What were the first two digits of this number?