Would this help solve the ITA Software "luck sevens" puzzle? (http://www.itasoftware.com/careers/puzzle_archive.html http://www.itasoftware.com/careers/puzzle_a

Would this help solve the ITA Software "luck sevens" puzzle? (http://www.itasoftware.com/careers/puzzle_archive.html http://www.itasoftware.com/careers/puzzle_archive.html) I never understood how to do that one except by brute force. "Write a program to compute the sum of all the integers between 1 and 10^11 both divisible by seven and, when the decimal digits are reversed, are still divisible by seven."