Base | Representation |
---|---|
bin | 10100011111011011… |
… | …11010001010100000 |
3 | 1001101200112100111222 |
4 | 22033231322022200 |
5 | 140012241024300 |
6 | 5015343554212 |
7 | 536421621332 |
oct | 121755721240 |
9 | 31350470458 |
10 | 11001111200 |
11 | 4735927742 |
12 | 21702bb968 |
13 | 1064226371 |
14 | 7650bd452 |
15 | 445c0d785 |
hex | 28fb7a2a0 |
11001111200 has 36 divisors (see below), whose sum is σ = 26856464670. Its totient is φ = 4400444160.
The previous prime is 11001111197. The next prime is 11001111203. The reversal of 11001111200 is 211110011.
It is a happy number.
11001111200 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 (11001111197) and next prime (11001111203).
It can be written as a sum of positive squares in 3 ways, for example, as 9109557136 + 1891554064 = 95444^2 + 43492^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is not an unprimeable number, because it can be changed into a prime (11001111203) 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 5 ways as a sum of consecutive naturals, for example, 6874895 + ... + 6876494.
Almost surely, 211001111200 is an apocalyptic number.
11001111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
11001111200 is an abundant number, since it is smaller than the sum of its proper divisors (15855353470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11001111200 is a wasteful number, since it uses less digits than its factorization.
11001111200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13751409 (or 13751396 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 11001111200 its reverse (211110011), we get a palindrome (11212221211).
The spelling of 11001111200 in words is "eleven billion, one million, one hundred eleven thousand, two hundred".
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