Base | Representation |
---|---|
bin | 10100011111010011… |
… | …10000001111110000 |
3 | 1001101121111000102020 |
4 | 22033221300033300 |
5 | 140012001201000 |
6 | 5015304351440 |
7 | 536406433662 |
oct | 121751601760 |
9 | 31347430366 |
10 | 11000022000 |
11 | 4735253380 |
12 | 216ba75580 |
13 | 1063c34676 |
14 | 764cb8532 |
15 | 445a95ba0 |
hex | 28fa703f0 |
11000022000 has 160 divisors (see below), whose sum is σ = 38688309504. Its totient is φ = 2666656000.
The previous prime is 11000021971. The next prime is 11000022037. The reversal of 11000022000 is 22000011.
It is a happy number.
11000022000 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 (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a zygodrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 11000022000.
It is a congruent number.
It is an unprimeable number.
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, 17334 + ... + 149333.
Almost surely, 211000022000 is an apocalyptic number.
11000022000 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 11000022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344154752).
11000022000 is an abundant number, since it is smaller than the sum of its proper divisors (27688287504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000022000 is a wasteful number, since it uses less digits than its factorization.
11000022000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166704 (or 166688 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 11000022000 its reverse (22000011), we get a palindrome (11022022011).
The spelling of 11000022000 in words is "eleven billion, twenty-two thousand".
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