MHB Can You Find the 8-Digit Number That is a Multiple of 2013 in Greg's Solution?

[Albert1]

$A=20\overline{abcd}13$ is an 8-digit number , and $A$ is a multiple of $2013$

please find $A$

 

[Greg]

$A=20\overline{abcd}13$ is an 8-digit number , and $A$ is a multiple of $2013$

please find $A$

Spoiler

$$2013\times10001=20132013$$

 

[Albert1]

Spoiler

$$2013\times10001=20132013$$

Spoiler

more than one solution

 

[kaliprasad]

continuing with Greg's solution

Spoiler

A = 20132013 is one solution other solutions are A + 2013 *100 * n as long as 2013 * n < 10000 so n = 0 to 4 giving 20132013(this is A itself) , 20333313, 20534613,20735913, 20937213.