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2001820200200 = 235289112461809
BaseRepresentation
bin11101001000010101110…
…010000010110100001000
321002101001021212121020022
4131020111302002310020
5230244211432401300
64131342402120012
7264424653644132
oct35102562026410
97071037777208
102001820200200
11701a70352177
12283b71650008
13116a036a7a02
146cc62504052
1537112bc6285
hex1d215c82d08

2001820200200 has 48 divisors (see below), whose sum is σ = 4706526748500. Its totient is φ = 791731128320.

The previous prime is 2001820200167. The next prime is 2001820200227. The reversal of 2001820200200 is 20020281002.

It can be written as a sum of positive squares in 6 ways, for example, as 37410522724 + 1964409677476 = 193418^2 + 1401574^2 .

It is a super-2 number, since 2×20018202002002 (a number of 25 digits) contains 22 as substring.

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, 56213105 + ... + 56248704.

Almost surely, 22001820200200 is an apocalyptic number.

2001820200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001820200200 is an abundant number, since it is smaller than the sum of its proper divisors (2704706548300).

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

2001820200200 is a wasteful number, since it uses less digits than its factorization.

2001820200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112461914 (or 112461905 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2001820200200 its reverse (20020281002), we get a palindrome (2021840481202).

The spelling of 2001820200200 in words is "two trillion, one billion, eight hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 112461809 224923618 449847236 562309045 899694472 1124618090 2249236180 2811545225 4498472360 5623090450 10009101001 11246180900 20018202002 22492361800 40036404004 50045505005 80072808008 100091010010 200182020020 250227525025 400364040040 500455050050 1000910100100 2001820200200