| Base | Representation |
|---|---|
| bin | 1100010010011111001… |
| … | …1100011000111010100 |
| 3 | 202011221101211022012020 |
| 4 | 3010213303203013110 |
| 5 | 11424334013101400 |
| 6 | 240553204253140 |
| 7 | 21152531531025 |
| oct | 3044763430724 |
| 9 | 664841738166 |
| 10 | 211121222100 |
| 11 | 81599475a48 |
| 12 | 34b000a11b0 |
| 13 | 16ba73aaa79 |
| 14 | a30b108c4c |
| 15 | 57599ab2a0 |
| hex | 3127ce31d4 |
211121222100 has 144 divisors (see below), whose sum is σ = 628061634816. Its totient is φ = 54722304000.
The previous prime is 211121222083. The next prime is 211121222131. The reversal of 211121222100 is 1222121112.
211121222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 211121222100.
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 47 ways as a sum of consecutive naturals, for example, 3301632 + ... + 3364968.
Almost surely, 2211121222100 is an apocalyptic number.
211121222100 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 211121222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314030817408).
211121222100 is an abundant number, since it is smaller than the sum of its proper divisors (416940412716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211121222100 is a wasteful number, since it uses less digits than its factorization.
211121222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63666 (or 63659 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 211121222100 its reverse (1222121112), we get a palindrome (212343343212).
It can be divided in two parts, 2111212 and 22100, that added together give a palindrome (2133312).
The spelling of 211121222100 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".
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