《数学通讯》(上半月)2012年第1、2期“问题征解”的第85题题目如下:题目:求证:201020112012能被20112011整除.(为了表述方便,本文把该题简称为“问题85”).这是一道“美丽而有趣的”数学问题,它不仅在式子形式上有着“优美与和谐”的对称结构(如201020112012与201220112010),而且和相应“年份”紧密相联.经过探索,我们可以得到许多有趣的结论 Mathematic Communication (1st Half) 2012 Issues 1 and 2 Issue 85 The title of question 85 is as follows: Topic: Confirmation: 201020112012 can be divisible by 20112011 (for the sake of expression, the article referred to as “ This is a ”beautiful and interesting“ mathematical problem that not only has a symmetrical structure of ”beauty and harmony“ (such as 201020112012 and 201220112010) in the form of formulas, but also corresponds to the corresponding ”Year " After exploration, we can get a lot of interesting conclusions