求乘积777····77(2001个7)*200120012001的各各数位上之和

问题描述:

求乘积777····77(2001个7)*200120012001的各各数位上之和

原式=111……112001个*7*200120012001
令200120012001=9a
=111……112001个*7*9*a
=999……992001个*7a
=2001*9
=18009