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2122201320200 = 235213816231277
BaseRepresentation
bin11110111000011101000…
…011100100101100001000
321111212202212012010002022
4132320131003210230020
5234232232014221300
64302531551224012
7306216061405433
oct36703503445410
97455685163068
102122201320200
117490253573a5
122a3368b18008
13125179822c70
1474a022d881a
153a30b361285
hex1ee1d0e4b08

2122201320200 has 48 divisors (see below), whose sum is σ = 5313665619780. Its totient is φ = 783582024960.

The previous prime is 2122201320199. The next prime is 2122201320203. The reversal of 2122201320200 is 20231022212.

It can be written as a sum of positive squares in 6 ways, for example, as 603396489796 + 1518804830404 = 776786^2 + 1232398^2 .

It is not an unprimeable number, because it can be changed into a prime (2122201320203) 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, 408113039 + ... + 408118238.

Almost surely, 22122201320200 is an apocalyptic number.

2122201320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122201320200 is an abundant number, since it is smaller than the sum of its proper divisors (3191464299580).

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

2122201320200 is a wasteful number, since it uses less digits than its factorization.

2122201320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816231306 (or 816231297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2122201320200 its reverse (20231022212), we get a palindrome (2142432342412).

The spelling of 2122201320200 in words is "two trillion, one hundred twenty-two billion, two hundred one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 816231277 1632462554 3264925108 4081156385 6529850216 8162312770 10611006601 16324625540 20405781925 21222013202 32649251080 40811563850 42444026404 53055033005 81623127700 84888052808 106110066010 163246255400 212220132020 265275165025 424440264040 530550330050 1061100660100 2122201320200