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212222011100200 = 23524125880733061
BaseRepresentation
bin110000010000001111001001…
…100101011100110000101000
31000211102020002211202120221121
4300100033021211130300220
5210304021134320201300
62031205240155545024
762462351162464033
oct6020171145346050
91024366084676847
10212222011100200
1161690938716752
121b97606a15b174
1391555b020817a
143a59858b1401a
1519805aca0681a
hexc103c995cc28

212222011100200 has 48 divisors (see below), whose sum is σ = 505450716700860. Its totient is φ = 82818345792000.

The previous prime is 212222011100173. The next prime is 212222011100207. The reversal of 212222011100200 is 2001110222212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23055381766404 + 189166629333796 = 4801602^2 + 13753786^2 .

It is not an unprimeable number, because it can be changed into a prime (212222011100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12940358331 + ... + 12940374730.

Almost surely, 2212222011100200 is an apocalyptic number.

212222011100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222011100200 is an abundant number, since it is smaller than the sum of its proper divisors (293228705600660).

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

212222011100200 is a wasteful number, since it uses less digits than its factorization.

212222011100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25880733118 (or 25880733109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212222011100200 its reverse (2001110222212), we get a palindrome (214223121322412).

The spelling of 212222011100200 in words is "two hundred twelve trillion, two hundred twenty-two billion, eleven million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 25880733061 51761466122 103522932244 129403665305 207045864488 258807330610 517614661220 647018326525 1035229322440 1061110055501 1294036653050 2122220111002 2588073306100 4244440222004 5176146612200 5305550277505 8488880444008 10611100555010 21222201110020 26527751387525 42444402220040 53055502775050 106111005550100 212222011100200