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222101100120 = 233512714573563
BaseRepresentation
bin1100111011011001000…
…0011101011001011000
3210020021121101220021010
43032312100131121120
512114330340200440
6250010513213520
722021605126144
oct3166620353130
9706247356233
10222101100120
118621330a8a9
12370652612a0
1317c370ab603
14aa6d45c224
155b9d8c3580
hex33b641d658

222101100120 has 64 divisors (see below), whose sum is σ = 671549829120. Its totient is φ = 58760601984.

The previous prime is 222101100119. The next prime is 222101100187. The reversal of 222101100120 is 21001101222.

222101100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222101100096 and 222101100105.

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 15 ways as a sum of consecutive naturals, for example, 7271542 + ... + 7302021.

It is an arithmetic number, because the mean of its divisors is an integer number (10492966080).

Almost surely, 2222101100120 is an apocalyptic number.

222101100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101100120 is an abundant number, since it is smaller than the sum of its proper divisors (449448729000).

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

222101100120 is a wasteful number, since it uses less digits than its factorization.

222101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14573704 (or 14573700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 222101100120 its reverse (21001101222), we get a palindrome (243102201342).

The spelling of 222101100120 in words is "two hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 14573563 29147126 43720689 58294252 72867815 87441378 116588504 145735630 174882756 218603445 291471260 349765512 437206890 582942520 874413780 1748827560 1850842501 3701685002 5552527503 7403370004 9254212505 11105055006 14806740008 18508425010 22210110012 27762637515 37016850020 44420220024 55525275030 74033700040 111050550060 222101100120