1515...15x333...3(1004个15x2008个3）求所有数位上的数字和等于（ ）

来源：百度知道 编辑：UC知道 时间：2024/06/24 17:13:14

1515...15x333...3(1004个15x2008个3）

可以看成05050...05×99...999（1004个05*2008个9）
加一个05050...05（1004个05）
等于0505...05000..00（1004个05后面有2008个0）

把这个数减去一个05050...05（1004个05）
等于0505...049595..95（1003个05 接 1个04 接 1004个95）

所以和1003*5+4+1004*14=19075

答案是18072
这个数是：
505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050