| Base | Representation |
|---|---|
| bin | 110000000001100010100110… |
| … | …001100010110000101000000 |
| 3 | 1000200211200100101212012211121 |
| 4 | 300001202212030112011000 |
| 5 | 210140444340100031422 |
| 6 | 2025113255500122024 |
| 7 | 62326366510003216 |
| oct | 6001424614260500 |
| 9 | 1020750311765747 |
| 10 | 211212100002112 |
| 11 | 61331604188100 |
| 12 | 1b8323a0b36314 |
| 13 | 90b12a57ab361 |
| 14 | 3a22a1228acb6 |
| 15 | 19641a10e38c7 |
| hex | c018a6316140 |
211212100002112 has 336 divisors, whose sum is σ = 475554589662096. Its totient is φ = 92961476608000.
The previous prime is 211212100002109. The next prime is 211212100002133. The reversal of 211212100002112 is 211200001212112.
It can be written as a sum of positive squares in 8 ways, for example, as 325474814016 + 210886625188096 = 570504^2 + 14521936^2 .
It is a super-2 number, since 2×2112121000021122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13140793308 + ... + 13140809380.
It is an arithmetic number, because the mean of its divisors is an integer number (1415341040661).
Almost surely, 2211212100002112 is an apocalyptic number.
211212100002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211212100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237777294831048).
211212100002112 is an abundant number, since it is smaller than the sum of its proper divisors (264342489659984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211212100002112 is a wasteful number, since it uses less digits than its factorization.
211212100002112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16578 (or 16557 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 211212100002112 its reverse (211200001212112), we get a palindrome (422412101214224).
It can be divided in two parts, 21121210000 and 2112, that added together give a palindrome (21121212112).
The spelling of 211212100002112 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred million, two thousand, one hundred twelve".
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