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HMMT 二月 2000 · 团队赛 · 第 7 题

HMMT February 2000 — Team Round — Problem 7

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. 8712 is an in tegral m ultiple of its rev ersal, 2178, as 8712=4*2178. Find another 4-digitn um b er which is a non-trivial in tegral m ultiple of its rev ersal.
解析

英文解析

  1. Another 4-digit number that satis es this prop ert y is 9801 , sin e 9801=9*1089.