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2012202012200 = 2352101990110061
BaseRepresentation
bin11101010010000000100…
…101100000111000101000
321010100211211002021221212
4131102000211200320220
5230431442203342300
64140220504252252
7265243145616452
oct35220045407050
97110754067855
102012202012200
1170640863a196
12285b8a471088
13117999509033
146d5692552d2
153751e353935
hex1d480960e28

2012202012200 has 96 divisors (see below), whose sum is σ = 4725637015320. Its totient is φ = 796752000000.

The previous prime is 2012202012173. The next prime is 2012202012211. The reversal of 2012202012200 is 22102022102.

It can be written as a sum of positive squares in 12 ways, for example, as 1179739200964 + 832462811236 = 1086158^2 + 912394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199995170 + ... + 200005230.

Almost surely, 22012202012200 is an apocalyptic number.

2012202012200 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 2012202012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362818507660).

2012202012200 is an abundant number, since it is smaller than the sum of its proper divisors (2713435003120).

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

2012202012200 is a wasteful number, since it uses less digits than its factorization.

2012202012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20079 (or 20070 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2012202012200 its reverse (22102022102), we get a palindrome (2034304034302).

The spelling of 2012202012200 in words is "two trillion, twelve billion, two hundred two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 9901 10061 10100 19802 20122 20200 39604 40244 49505 50305 79208 80488 99010 100610 198020 201220 247525 251525 396040 402440 495050 503050 990100 1000001 1006100 1016161 1980200 2000002 2012200 2032322 4000004 4064644 5000005 5080805 8000008 8129288 10000010 10161610 20000020 20323220 25000025 25404025 40000040 40646440 50000050 50808050 99613961 100000100 101616100 199227922 200000200 203232200 398455844 498069805 796911688 996139610 1992279220 2490349025 3984558440 4980698050 9961396100 10061010061 19922792200 20122020122 40244040244 50305050305 80488080488 100610100610 201220201220 251525251525 402440402440 503050503050 1006101006100 2012202012200