| Base | Representation |
|---|---|
| bin | 1100010010110100101… |
| … | …0110100110101110100 |
| 3 | 202012011200011011112010 |
| 4 | 3010231022310311310 |
| 5 | 11430030032210400 |
| 6 | 241010141124220 |
| 7 | 21155003443512 |
| oct | 3045512646564 |
| 9 | 665150134463 |
| 10 | 211211210100 |
| 11 | 816352492a0 |
| 12 | 34b26259670 |
| 13 | 16bbcc273c7 |
| 14 | a3190514b2 |
| 15 | 5762834450 |
| hex | 312d2b4d74 |
211211210100 has 288 divisors, whose sum is σ = 677937859200. Its totient is φ = 50343680000.
The previous prime is 211211210083. The next prime is 211211210141. The reversal of 211211210100 is 1012112112.
211211210100 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 2×2112112101002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 49659574 + ... + 49663826.
It is an arithmetic number, because the mean of its divisors is an integer number (2353950900).
Almost surely, 2211211210100 is an apocalyptic number.
211211210100 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 211211210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338968929600).
211211210100 is an abundant number, since it is smaller than the sum of its proper divisors (466726649100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211211210100 is a wasteful number, since it uses less digits than its factorization.
211211210100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4531 (or 4524 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 211211210100 its reverse (1012112112), we get a palindrome (212223322212).
It can be divided in two parts, 2112112 and 10100, that added together give a palindrome (2122212).
The spelling of 211211210100 in words is "two hundred eleven billion, two hundred eleven million, two hundred ten thousand, one hundred".
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