| Base | Representation |
|---|---|
| bin | 1100010010110110110… |
| … | …0101111001110100000 |
| 3 | 202012012021212211011200 |
| 4 | 3010231230233032200 |
| 5 | 11430034321200000 |
| 6 | 241011055441200 |
| 7 | 21155142140550 |
| oct | 3045554571640 |
| 9 | 665167784150 |
| 10 | 211220100000 |
| 11 | 8163a270418 |
| 12 | 34b29226200 |
| 13 | 16bc1a1a8c0 |
| 14 | a31a2c7160 |
| 15 | 57634dd500 |
| hex | 312db2f3a0 |
211220100000 has 864 divisors, whose sum is σ = 924387085440. Its totient is φ = 44547840000.
The previous prime is 211220099989. The next prime is 211220100031. The reversal of 211220100000 is 1022112.
211220100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2112201000002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
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 143 ways as a sum of consecutive naturals, for example, 81898711 + ... + 81901289.
It is an arithmetic number, because the mean of its divisors is an integer number (1069892460).
Almost surely, 2211220100000 is an apocalyptic number.
211220100000 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 211220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462193542720).
211220100000 is an abundant number, since it is smaller than the sum of its proper divisors (713166985440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211220100000 is a wasteful number, since it uses less digits than its factorization.
211220100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2640 (or 2609 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 211220100000 its reverse (1022112), we get a palindrome (211221122112).
The spelling of 211220100000 in words is "two hundred eleven billion, two hundred twenty million, one hundred thousand".
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