Java - format number adding leading zeros (to string)

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System.out.println(String.format("%01d", 1));  // 1
System.out.println(String.format("%02d", 1));  // 01
System.out.println(String.format("%03d", 1));  // 001
System.out.println(String.format("%04d", 1));  // 0001
System.out.println(String.format("%05d", 1));  // 00001