MathDB

The letters

A,B,C

and

D

each represent a different digit, so each of the four-digit numbers

ABCD

BCDA

CDAB

and

DABC

satisfy that its least prime divisor is equal to

11

. Determine all possible values of the sum

ABCD +BCDA+CDAB+DABC

and for each possible value of said sum, give an example of a choice of digits

A,B,C

and

D

with which to obtain that value and which satisfies the conditions established above.

Problem Statement