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222120221200100 = 225219116905379579
BaseRepresentation
bin110010100000010001100100…
…111000011100111011100100
31002010110111010010100011011222
4302200101210320130323210
5213103204203111400400
62104224342042115512
764533441101232236
oct6240214470347344
91063414103304158
10222120221200100
1164857725229193
1220ab44787abb98
1396c2b01a8c072
143cbc9671b8256
151aa2ccb4ee185
hexca0464e1cee4

222120221200100 has 36 divisors (see below), whose sum is σ = 507369347377200. Its totient is φ = 84171873296160.

The previous prime is 222120221200099. The next prime is 222120221200109. The reversal of 222120221200100 is 1002122021222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222120221200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58452687890 + ... + 58452691689.

It is an arithmetic number, because the mean of its divisors is an integer number (14093592982700).

Almost surely, 2222120221200100 is an apocalyptic number.

222120221200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120221200100 is an abundant number, since it is smaller than the sum of its proper divisors (285249126177100).

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

222120221200100 is a wasteful number, since it uses less digits than its factorization.

222120221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116905379612 (or 116905379605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222120221200100 its reverse (1002122021222), we get a palindrome (223122343221322).

The spelling of 222120221200100 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 116905379579 233810759158 467621518316 584526897895 1169053795790 2221202212001 2338107591580 2922634489475 4442404424002 5845268978950 8884808848004 11106011060005 11690537957900 22212022120010 44424044240020 55530055300025 111060110600050 222120221200100