| Base | Representation |
|---|---|
| bin | 11001001010101… |
| … | …11011101000100 |
| 3 | 112201021002220220 |
| 4 | 30211113131010 |
| 5 | 413021400423 |
| 6 | 32541024340 |
| 7 | 5142336000 |
| oct | 1445273504 |
| 9 | 481232826 |
| 10 | 211121988 |
| 11 | a919a090 |
| 12 | 5a8550b0 |
| 13 | 3497c76c |
| 14 | 20079700 |
| 15 | 138049e3 |
| hex | c957744 |
211121988 has 96 divisors (see below), whose sum is σ = 626841600. Its totient is φ = 54825120.
The previous prime is 211121987. The next prime is 211122007. The reversal of 211121988 is 889121112.
211121988 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-3 number, since 3×2111219883 (a number of 26 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211121983) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42945 + ... + 47607.
It is an arithmetic number, because the mean of its divisors is an integer number (6529600).
Almost surely, 2211121988 is an apocalyptic number.
211121988 is a gapful number since it is divisible by the number (28) 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 211121988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313420800).
211121988 is an abundant number, since it is smaller than the sum of its proper divisors (415719612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211121988 is a wasteful number, since it uses less digits than its factorization.
211121988 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4702 (or 4686 counting only the distinct ones).
The product of its digits is 2304, while the sum is 33.
The square root of 211121988 is about 14530.0374397315. The cubic root of 211121988 is about 595.4488884782.
The spelling of 211121988 in words is "two hundred eleven million, one hundred twenty-one thousand, nine hundred eighty-eight".
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