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221112021210100 = 22529733767641109
BaseRepresentation
bin110010010001100110100111…
…011110101101001111110100
31001222220002202221012002002121
4302101212213132231033310
5212440144404412210400
62102133243225245324
764400550003556636
oct6221464736551764
91058802687162077
10221112021210100
11644a909965a459
1220970ba8633844
13964ba0a9ca847
143c85c43ac8a56
151a8696ee3621a
hexc919a77ad3f4

221112021210100 has 72 divisors (see below), whose sum is σ = 486198075697880. Its totient is φ = 87273263185920.

The previous prime is 221112021210083. The next prime is 221112021210151. The reversal of 221112021210100 is 1012120211122.

It can be written as a sum of positive squares in 12 ways, for example, as 46443761581156 + 174668259628944 = 6814966^2 + 13216212^2 .

It is a congruent number.

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, 30551655 + ... + 37089454.

Almost surely, 2221112021210100 is an apocalyptic number.

221112021210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112021210100 is an abundant number, since it is smaller than the sum of its proper divisors (265086054487780).

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

221112021210100 is a wasteful number, since it uses less digits than its factorization.

221112021210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67641557 (or 67641550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221112021210100 its reverse (1012120211122), we get a palindrome (222124141421222).

The spelling of 221112021210100 in words is "two hundred twenty-one trillion, one hundred twelve billion, twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 337 388 485 674 970 1348 1685 1940 2425 3370 4850 6740 8425 9700 16850 32689 33700 65378 130756 163445 326890 653780 817225 1634450 3268900 67641109 135282218 270564436 338205545 676411090 1352822180 1691027725 3382055450 6561187573 6764110900 13122375146 22795053733 26244750292 32805937865 45590107466 65611875730 91180214932 113975268665 131223751460 164029689325 227950537330 328059378650 455901074660 569876343325 656118757300 1139752686650 2211120212101 2279505373300 4422240424202 8844480848404 11055601060505 22111202121010 44222404242020 55278005302525 110556010605050 221112021210100