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2000120200200 = 2332521111177889
BaseRepresentation
bin11101000110110000011…
…101000011110000001000
321002012122211000122122100
4131012300131003300020
5230232221232401300
64130501553153400
7264334562121663
oct35066035036010
97065584018570
102000120200200
11701278789aa1
1228377825b860
131167c242b455
146cb4081c6da
1537063822700
hex1d1b0743c08

2000120200200 has 72 divisors (see below), whose sum is σ = 6717070345050. Its totient is φ = 533365386240.

The previous prime is 2000120200181. The next prime is 2000120200213. The reversal of 2000120200200 is 20020210002.

It can be written as a sum of positive squares in 3 ways, for example, as 1848071675844 + 152048524356 = 1359438^2 + 389934^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 555587145 + ... + 555590744.

Almost surely, 22000120200200 is an apocalyptic number.

2000120200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000120200200 is an abundant number, since it is smaller than the sum of its proper divisors (4716950144850).

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

2000120200200 is a wasteful number, since it uses less digits than its factorization.

2000120200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111177911 (or 1111177899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2000120200200 its reverse (20020210002), we get a palindrome (2020140410202).

The spelling of 2000120200200 in words is "two trillion, one hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1111177889 2222355778 3333533667 4444711556 5555889445 6667067334 8889423112 10000601001 11111778890 13334134668 16667668335 20001202002 22223557780 26668269336 27779447225 33335336670 40002404004 44447115560 50003005005 55558894450 66670673340 80004808008 83338341675 100006010010 111117788900 133341346680 166676683350 200012020020 222235577800 250015025025 333353366700 400024040040 500030050050 666706733400 1000060100100 2000120200200