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211222221102200 = 235271159232469977
BaseRepresentation
bin110000000001101100000001…
…011101010001110001111000
31000200212122110202111101001102
4300001230001131101301320
5210141131102100232300
62025122052050310532
762330205354640520
oct6001540135216170
91020778422441042
10211222221102200
1161335928295430
121b834346588448
1390b22295b9389
143a232d2534680
1519645949230d5
hexc01b01751c78

211222221102200 has 192 divisors, whose sum is σ = 622647589075200. Its totient is φ = 64719641318400.

The previous prime is 211222221102199. The next prime is 211222221102227. The reversal of 211222221102200 is 2201122222112.

It is a super-2 number, since 2×2112222211022002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 115326389 + ... + 117143588.

It is an arithmetic number, because the mean of its divisors is an integer number (3242956193100).

Almost surely, 2211222221102200 is an apocalyptic number.

211222221102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222221102200 is an abundant number, since it is smaller than the sum of its proper divisors (411425367973000).

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

211222221102200 is a wasteful number, since it uses less digits than its factorization.

211222221102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232470070 (or 232470061 counting only the distinct ones).

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

Adding to 211222221102200 its reverse (2201122222112), we get a palindrome (213423343324312).

The spelling of 211222221102200 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, two hundred".