| Base | Representation |
|---|---|
| bin | 10100011111011011… |
| … | …00100011010110000 |
| 3 | 1001101200100211100000 |
| 4 | 22033231210122300 |
| 5 | 140012230202003 |
| 6 | 5015342030000 |
| 7 | 536421100545 |
| oct | 121755443260 |
| 9 | 31350324300 |
| 10 | 11001022128 |
| 11 | 4735876828 |
| 12 | 2170278300 |
| 13 | 10641c4965 |
| 14 | 765098bcc |
| 15 | 445be21a3 |
| hex | 28fb646b0 |
11001022128 has 120 divisors (see below), whose sum is σ = 32120944128. Its totient is φ = 3644834112.
The previous prime is 11001022127. The next prime is 11001022129. The reversal of 11001022128 is 82122010011.
11001022128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (11001022127) and next prime (11001022129).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 11001022128.
It is not an unprimeable number, because it can be changed into a prime (11001022127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640825 + ... + 657767.
Almost surely, 211001022128 is an apocalyptic number.
11001022128 is a gapful number since it is divisible by the number (18) 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 11001022128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060472064).
11001022128 is an abundant number, since it is smaller than the sum of its proper divisors (21119922000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11001022128 is a wasteful number, since it uses less digits than its factorization.
11001022128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17133 (or 17115 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 11001022128 its reverse (82122010011), we get a palindrome (93123032139).
The spelling of 11001022128 in words is "eleven billion, one million, twenty-two thousand, one hundred twenty-eight".
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