| Base | Representation |
|---|---|
| bin | 110010010001100110101100… |
| … | …001111111000100000000000 |
| 3 | 1001222220002222111201111111000 |
| 4 | 302101212230033320200000 |
| 5 | 212440200040402210422 |
| 6 | 2102133255204052000 |
| 7 | 64400551664553060 |
| oct | 6221465417704000 |
| 9 | 1058802874644430 |
| 10 | 221112101210112 |
| 11 | 644a912a830672 |
| 12 | 2097100b394000 |
| 13 | 964ba2145ac28 |
| 14 | 3c85c505913a0 |
| 15 | 1a86976e89cac |
| hex | c919ac3f8800 |
221112101210112 has 384 divisors, whose sum is σ = 751913642188800. Its totient is φ = 62891566055424.
The previous prime is 221112101210107. The next prime is 221112101210137. The reversal of 221112101210112 is 211012101211122.
It is a happy number.
221112101210112 is a `hidden beast` number, since 22 + 111 + 210 + 1 + 210 + 112 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×2211121012101122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 31 ways as a sum of consecutive naturals, for example, 85036243 + ... + 87597869.
It is an arithmetic number, because the mean of its divisors is an integer number (1958108443200).
Almost surely, 2221112101210112 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 221112101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375956821094400).
221112101210112 is an abundant number, since it is smaller than the sum of its proper divisors (530801540978688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221112101210112 is a wasteful number, since it uses less digits than its factorization.
221112101210112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2561888 (or 2561862 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 221112101210112 its reverse (211012101211122), we get a palindrome (432124202421234).
The spelling of 221112101210112 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred one million, two hundred ten thousand, one hundred twelve".
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