| Base | Representation |
|---|---|
| bin | 110000000001101011111010… |
| … | …111101011110001010001000 |
| 3 | 1000200212122012011101112111221 |
| 4 | 300001223322331132022020 |
| 5 | 210141130341144213000 |
| 6 | 2025122033154131424 |
| 7 | 62330202562306000 |
| oct | 6001537275361210 |
| 9 | 1020778164345457 |
| 10 | 211222112101000 |
| 11 | 613358818061a0 |
| 12 | 1b834315b80b74 |
| 13 | 90b220cb43820 |
| 14 | 3a232c1c7d000 |
| 15 | 196458a09161a |
| hex | c01afaf5e288 |
211222112101000 has 512 divisors, whose sum is σ = 677164924800000. Its totient is φ = 60771182976000.
The previous prime is 211222112100959. The next prime is 211222112101009. The reversal of 211222112101000 is 101211222112.
It is a super-2 number, since 2×2112221121010002 (a number of 29 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (211222112101009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46895826 + ... + 51202174.
It is an arithmetic number, because the mean of its divisors is an integer number (1322587743750).
Almost surely, 2211222112101000 is an apocalyptic number.
211222112101000 is a gapful number since it is divisible by the number (20) 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 211222112101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338582462400000).
211222112101000 is an abundant number, since it is smaller than the sum of its proper divisors (465942812699000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211222112101000 is a wasteful number, since it uses less digits than its factorization.
211222112101000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4306415 (or 4306387 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 211222112101000 its reverse (101211222112), we get a palindrome (211323323323112).
It can be divided in two parts, 211222112 and 101000, that added together give a palindrome (211323112).
The spelling of 211222112101000 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one thousand".
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