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200212021200200 = 235273137100096001
BaseRepresentation
bin101101100001011101111110…
…011001110100010101001000
3222020220002012222220222121212
4231201131332121310111020
5202220233204411401300
61545452044403352252
760112561345633442
oct5541357631642510
9866802188828555
10200212021200200
11588804944a6149
121a556520982688
138793bb2c56369
143762456481492
151822e92a70935
hexb6177e674548

200212021200200 has 96 divisors (see below), whose sum is σ = 475313873177160. Its totient is φ = 78411202560000.

The previous prime is 200212021200187. The next prime is 200212021200227. The reversal of 200212021200200 is 2002120212002.

It can be written as a sum of positive squares in 12 ways, for example, as 22914966893764 + 177297054306436 = 4786958^2 + 13315294^2 .

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, 48047801 + ... + 52048200.

Almost surely, 2200212021200200 is an apocalyptic number.

200212021200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212021200200 is an abundant number, since it is smaller than the sum of its proper divisors (275101851976960).

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

200212021200200 is a wasteful number, since it uses less digits than its factorization.

200212021200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100096227 (or 100096218 counting only the distinct ones).

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

Adding to 200212021200200 its reverse (2002120212002), we get a palindrome (202214141412202).

200212021200200 divided by its reverse (2002120212002) gives a square (100 = 102).

The spelling of 200212021200200 in words is "two hundred trillion, two hundred twelve billion, twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1370 1460 1825 2740 2920 3425 3650 5480 6850 7300 10001 13700 14600 20002 27400 40004 50005 80008 100010 200020 250025 400040 500050 1000100 2000200 100096001 200192002 400384004 500480005 800768008 1000960010 2001920020 2502400025 4003840040 5004800050 7307008073 10009600100 13713152137 14614016146 20019200200 27426304274 29228032292 36535040365 54852608548 58456064584 68565760685 73070080730 109705217096 137131521370 146140161460 182675201825 274263042740 292280322920 342828803425 365350403650 548526085480 685657606850 730700807300 1001060106001 1371315213700 1461401614600 2002120212002 2742630427400 4004240424004 5005300530005 8008480848008 10010601060010 20021202120020 25026502650025 40042404240040 50053005300050 100106010600100 200212021200200