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2001000021200 = 245217294264709
BaseRepresentation
bin11101000111100100111…
…001010011110011010000
321002021221010120012011022
4131013210321103303100
5230241022001134300
64131125142535012
7264365434354535
oct35074471236320
97067833505138
102001000021200
1170168a389594
12283982a37468
131169027ab0ab
146cbc5604d8c
15370b5bb5285
hex1d1e4e53cd0

2001000021200 has 60 divisors (see below), whose sum is σ = 5090190953580. Its totient is φ = 753317652480.

The previous prime is 2001000021197. The next prime is 2001000021221. The reversal of 2001000021200 is 21200001002.

It can be written as a sum of positive squares in 6 ways, for example, as 174112583824 + 1826887437376 = 417268^2 + 1351624^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147125555 + ... + 147139154.

It is an arithmetic number, because the mean of its divisors is an integer number (84836515893).

Almost surely, 22001000021200 is an apocalyptic number.

2001000021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001000021200 is an abundant number, since it is smaller than the sum of its proper divisors (3089190932380).

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

2001000021200 is a wasteful number, since it uses less digits than its factorization.

2001000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294264744 (or 294264733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2001000021200 its reverse (21200001002), we get a palindrome (2022200022202).

The spelling of 2001000021200 in words is "two trillion, one billion, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 294264709 588529418 1177058836 1471323545 2354117672 2942647090 4708235344 5002500053 5885294180 7356617725 10005000106 11770588360 14713235450 20010000212 23541176720 25012500265 29426470900 40020000424 50025000530 58852941800 80040000848 100050001060 117705883600 125062501325 200100002120 250125002650 400200004240 500250005300 1000500010600 2001000021200