Search a number
-
+
20200201020012 = 223131795631284901
BaseRepresentation
bin1001001011111001110011…
…10011100110001001101100
32122112010020202000001202210
410211330321303212021230
510121430002430120022
6110543502204450420
74153262545432026
oct445747163461154
978463222001683
1020200201020012
116488947948582
122322b26549a10
13b36b42156560
144db9a2d09016
152506c0cb6a0c
hex125f39ce626c

20200201020012 has 96 divisors (see below), whose sum is σ = 51133754407680. Its totient is φ = 6169740307200.

The previous prime is 20200201020007. The next prime is 20200201020017. The reversal of 20200201020012 is 21002010200202.

It is an interprime number because it is at equal distance from previous prime (20200201020007) and next prime (20200201020017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 20200201020012.

It is not an unprimeable number, because it can be changed into a prime (20200201020017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15078762 + ... + 16363662.

It is an arithmetic number, because the mean of its divisors is an integer number (532643275080).

Almost surely, 220200201020012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200201020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25566877203840).

20200201020012 is an abundant number, since it is smaller than the sum of its proper divisors (30933553387668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20200201020012 is a wasteful number, since it uses less digits than its factorization.

20200201020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285663 (or 1285661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20200201020012 its reverse (21002010200202), we get a palindrome (41202211220214).

The spelling of 20200201020012 in words is "twenty trillion, two hundred billion, two hundred one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 179 358 537 563 716 1074 1126 1689 2148 2252 2327 3378 4654 6756 6981 7319 9308 13962 14638 21957 27924 29276 43914 87828 100777 201554 302331 403108 604662 1209324 1284901 1310101 2569802 2620202 3854703 3930303 5139604 5240404 7709406 7860606 15418812 15721212 16703713 33407426 50111139 66814852 100222278 200444556 229997279 459994558 689991837 723399263 919989116 1379983674 1446798526 2170197789 2759967348 2893597052 2989964627 4340395578 5979929254 8680791156 8969893881 9404190419 11959858508 17939787762 18808380838 28212571257 35879575524 37616761676 56425142514 112850285028 129488468077 258976936154 388465404231 517953872308 776930808462 1553861616924 1683350085001 3366700170002 5050050255003 6733400340004 10100100510006 20200201020012