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2001201020020 = 2251711357839007
BaseRepresentation
bin11101000111110000111…
…000000011110001110100
321002022110010202222201001
4131013300320003301310
5230241424430120040
64131201123013044
7264403425002116
oct35076070036164
97068403688631
102001201020020
11701782893a14
12283a1a20a184
13116935324bc7
146cc041a73b6
15370c866a59a
hex1d1f0e03c74

2001201020020 has 96 divisors (see below), whose sum is σ = 4490382210048. Its totient is φ = 746514112512.

The previous prime is 2001201020017. The next prime is 2001201020033. The reversal of 2001201020020 is 200201021002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001201019979 and 2001201020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222178357 + ... + 222187363.

It is an arithmetic number, because the mean of its divisors is an integer number (46774814688).

Almost surely, 22001201020020 is an apocalyptic number.

2001201020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001201020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245191105024).

2001201020020 is an abundant number, since it is smaller than the sum of its proper divisors (2489181190028).

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

2001201020020 is a wasteful number, since it uses less digits than its factorization.

2001201020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14929 (or 14927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2001201020020 its reverse (200201021002), we get a palindrome (2201402041022).

The spelling of 2001201020020 in words is "two trillion, one billion, two hundred one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 5783 7684 9007 9605 11566 18014 19210 23132 28915 36028 38420 45035 57830 90070 98311 115660 153119 180140 196622 306238 393244 491555 612476 653479 765595 983110 1017791 1306958 1531190 1966220 2035582 2613916 3062380 3267395 4071164 5088955 6534790 10177910 11109143 13069580 17302447 20355820 22218286 34604894 44436572 52087481 55545715 69209788 86512235 104174962 111091430 173024470 208349924 222182860 260437405 346048940 520874810 885487177 1041749620 1770974354 3541948708 4427435885 5885885353 8854871770 11771770706 17709743540 23543541412 29429426765 58858853530 100060051001 117717707060 200120102002 400240204004 500300255005 1000600510010 2001201020020