I would like to get a new clock which has the all or most of the following. Runs off 230V. Runs off 12V or internal battery. Automatically sets time and date using radio signal. Always shows the time at night when on 230V, using a permanent back light. Has long wave (for use in France), medium wave and FM wavelengths. Has an alarm. Is reasonably compact. Does not cost an arm and a leg, preferably not even an arm.