The districts to be formed under sections 247.010 to 247.220 shall be known as public water supply districts of the counties in which districts are located, and shall be political corporations of the state of Missouri. Each district shall carry with it a number, which shall not be the same as any existing district of the county, and, when incorporated and organized as herein provided, shall have and be invested with all the powers conferred upon them by the provisions of sections 247.010 to 247.220 and no other.