Xiaomi note 4 is a great smart phone with 3 variants in the market 4 gb ram 64 gb internal memory, 3 gb 32 gb and 2 gb 16 gb.
The battery backup is also about 1.5-2 days with a full battery.
The touch is also incredible and smooth also since I am using 4 gb variant I never face problem where my phone hangs. All the games and apps run very smoothly.
Camera quality is also good the rear camera is 13 mp and front is 5 mp. The processor is octa core snapdragon processor.
Since I personally use this phone nowadays hence I recommend it is a good buy in category of under 15000.