| Base | Representation |
|---|---|
| bin | 10100100000101111… |
| … | …10111101010011000 |
| 3 | 1001102110020012101222 |
| 4 | 22100113313222120 |
| 5 | 140023100023000 |
| 6 | 5020415431212 |
| 7 | 536614253612 |
| oct | 122027675230 |
| 9 | 31373205358 |
| 10 | 11012111000 |
| 11 | 474105aa90 |
| 12 | 2173b25508 |
| 13 | 10665a8017 |
| 14 | 766743db2 |
| 15 | 446b82a85 |
| hex | 2905f7a98 |
11012111000 has 128 divisors (see below), whose sum is σ = 28167160320. Its totient is φ = 3996400000.
The previous prime is 11012110979. The next prime is 11012111003. The reversal of 11012111000 is 11121011.
It is a happy number.
11012111000 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 (8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11012111003) 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 31 ways as a sum of consecutive naturals, for example, 10680485 + ... + 10681515.
It is an arithmetic number, because the mean of its divisors is an integer number (220055940).
Almost surely, 211012111000 is an apocalyptic number.
11012111000 is a gapful number since it is divisible by the number (10) 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 11012111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083580160).
11012111000 is an abundant number, since it is smaller than the sum of its proper divisors (17155049320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11012111000 is a wasteful number, since it uses less digits than its factorization.
11012111000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2034 (or 2020 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 11012111000 its reverse (11121011), we get a palindrome (11023232011).
It can be divided in two parts, 110121 and 11000, that added together give a palindrome (121121).
The spelling of 11012111000 in words is "eleven billion, twelve million, one hundred eleven thousand".
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