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221121022221200 = 24522659207898667
BaseRepresentation
bin110010010001101110111111…
…111110110101101110010000
31001222220222000020011211002002
4302101232333332311232100
5212440321323142034300
62102141332324213132
764401316031111543
oct6221567776655620
91058828006154062
10221121022221200
1164501998481302
122097289ab3a1a8
13964c81374310a
143c864592c485a
151a86cea2625d5
hexc91bbffb5b90

221121022221200 has 60 divisors (see below), whose sum is σ = 531443049061680. Its totient is φ = 88415144676480.

The previous prime is 221121022221167. The next prime is 221121022221277. The reversal of 221121022221200 is 2122220121122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102885734 + ... + 105012933.

It is an arithmetic number, because the mean of its divisors is an integer number (8857384151028).

Almost surely, 2221121022221200 is an apocalyptic number.

221121022221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121022221200 is an abundant number, since it is smaller than the sum of its proper divisors (310322026840480).

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

221121022221200 is a wasteful number, since it uses less digits than its factorization.

221121022221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207901344 (or 207901333 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221121022221200 its reverse (2122220121122), we get a palindrome (223243242342322).

The spelling of 221121022221200 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2659 5318 10636 13295 21272 26590 42544 53180 66475 106360 132950 212720 265900 531800 1063600 207898667 415797334 831594668 1039493335 1663189336 2078986670 3326378672 4157973340 5197466675 8315946680 10394933350 16631893360 20789866700 41579733400 83159466800 552802555553 1105605111106 2211210222212 2764012777765 4422420444424 5528025555530 8844840888848 11056051111060 13820063888825 22112102222120 27640127777650 44224204444240 55280255555300 110560511110600 221121022221200