Base | Representation |
---|---|
bin | 110000000001101011111010… |
… | …111101111001000000111000 |
3 | 1000200212122012011121010102000 |
4 | 300001223322331321000320 |
5 | 210141130341211223000 |
6 | 2025122033200341000 |
7 | 62330202563244462 |
oct | 6001537275710070 |
9 | 1020778164533360 |
10 | 211222112211000 |
11 | 61335881880900 |
12 | 1b834316014760 |
13 | 90b220cb81907 |
14 | 3a232c1cab132 |
15 | 196458a0b4000 |
hex | c01afaf79038 |
211222112211000 has 1536 divisors, whose sum is σ = 812724289977600. Its totient is φ = 50707464192000.
The previous prime is 211222112210981. The next prime is 211222112211001. The reversal of 211222112211000 is 112211222112.
211222112211000 is a `hidden beast` number, since 211 + 2 + 221 + 1 + 221 + 10 + 0 + 0 = 666.
It is a super-2 number, since 2×2112221122110002 (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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211222112211001) 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 383 ways as a sum of consecutive naturals, for example, 165404942362 + ... + 165404943638.
Almost surely, 2211222112211000 is an apocalyptic number.
211222112211000 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 211222112211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406362144988800).
211222112211000 is an abundant number, since it is smaller than the sum of its proper divisors (601502177766600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211222112211000 is a wasteful number, since it uses less digits than its factorization.
211222112211000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1783 (or 1752 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 211222112211000 its reverse (112211222112), we get a palindrome (211334323433112).
The spelling of 211222112211000 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand".
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