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221110211112 = 23373257104513
BaseRepresentation
bin1100110111101100110…
…0100001001000101000
3210010201112212112002020
43031323030201020220
512110313203223422
6245324315104440
721655213533000
oct3157314411050
9703645775066
10221110211112
1185854a4a26a
1236a29442120
1317b09a1145b
14a9b7a03000
155b418e195c
hex337b321228

221110211112 has 128 divisors (see below), whose sum is σ = 647150688000. Its totient is φ = 62927929344.

The previous prime is 221110211107. The next prime is 221110211171. The reversal of 221110211112 is 211112011122.

It is a happy number.

221110211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221110211091 and 221110211100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063368 + ... + 2167880.

It is an arithmetic number, because the mean of its divisors is an integer number (5055864750).

Almost surely, 2221110211112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221110211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323575344000).

221110211112 is an abundant number, since it is smaller than the sum of its proper divisors (426040476888).

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

221110211112 is a wasteful number, since it uses less digits than its factorization.

221110211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104800 (or 104782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221110211112 its reverse (211112011122), we get a palindrome (432222222234).

The spelling of 221110211112 in words is "two hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 257 294 343 392 514 588 686 771 1028 1029 1176 1372 1542 1799 2056 2058 2744 3084 3598 4116 5397 6168 7196 8232 10794 12593 14392 21588 25186 37779 43176 50372 75558 88151 100744 104513 151116 176302 209026 264453 302232 313539 352604 418052 528906 627078 705208 731591 836104 1057812 1254156 1463182 2115624 2194773 2508312 2926364 4389546 5121137 5852728 8779092 10242274 15363411 17558184 20484548 26859841 30726822 35847959 40969096 53719682 61453644 71695918 80579523 107439364 107543877 122907288 143391836 161159046 188018887 214878728 215087754 286783672 322318092 376037774 430175508 564056661 644636184 752075548 860351016 1128113322 1316132209 1504151096 2256226644 2632264418 3948396627 4512453288 5264528836 7896793254 9212925463 10529057672 15793586508 18425850926 27638776389 31587173016 36851701852 55277552778 73703403704 110555105556 221110211112