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211120222012200 = 233252117289012229
BaseRepresentation
bin110000000000001101000001…
…110101101000001100101000
31000200111220012021012201212100
4300000031001311220030220
5210132443203313342300
62025003142512013400
762316634624660344
oct6000150165501450
91020456167181770
10211120222012200
11612a6646484436
121b81861b231260
1390a5722890857
143a1c3b7bb4624
151961ac4e55700
hexc00341d68328

211120222012200 has 72 divisors (see below), whose sum is σ = 709012078930350. Its totient is φ = 56298725869440.

The previous prime is 211120222011991. The next prime is 211120222012229. The reversal of 211120222012200 is 2210222021112.

It is a happy number.

211120222012200 is a `hidden beast` number, since 21 + 1 + 1 + 202 + 220 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 178284502791684 + 32835719220516 = 13352322^2 + 5730246^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58644504315 + ... + 58644507914.

Almost surely, 2211120222012200 is an apocalyptic number.

211120222012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120222012200 is an abundant number, since it is smaller than the sum of its proper divisors (497891856918150).

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

211120222012200 is a wasteful number, since it uses less digits than its factorization.

211120222012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117289012251 (or 117289012239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211120222012200 its reverse (2210222021112), we get a palindrome (213330444033312).

The spelling of 211120222012200 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 117289012229 234578024458 351867036687 469156048916 586445061145 703734073374 938312097832 1055601110061 1172890122290 1407468146748 1759335183435 2111202220122 2345780244580 2814936293496 2932225305725 3518670366870 4222404440244 4691560489160 5278005550305 5864450611450 7037340733740 8444808880488 8796675917175 10556011100610 11728901222900 14074681467480 17593351834350 21112022201220 23457802445800 26390027751525 35186703668700 42224044402440 52780055503050 70373407337400 105560111006100 211120222012200