Base | Representation |
---|---|
bin | 100001110001011… |
… | …0111000111011010 |
3 | 2220222100010210100 |
4 | 1003202313013122 |
5 | 4310100241442 |
6 | 304240400230 |
7 | 40040100300 |
oct | 10342670732 |
9 | 2828303710 |
10 | 1133212122 |
11 | 53173a049 |
12 | 277616076 |
13 | 150a0ba23 |
14 | aa706270 |
15 | 6974684c |
hex | 438b71da |
1133212122 has 72 divisors (see below), whose sum is σ = 2884662612. Its totient is φ = 320544000.
The previous prime is 1133212121. The next prime is 1133212123. The reversal of 1133212122 is 2212123311.
1133212122 is digitally balanced in base 4, 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 (1133212121) and next prime (1133212123).
It can be written as a sum of positive squares in 2 ways, for example, as 865595241 + 267616881 = 29421^2 + 16359^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 1133212095 and 1133212104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1133212121) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82722 + ... + 95442.
Almost surely, 21133212122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1133212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442331306).
1133212122 is an abundant number, since it is smaller than the sum of its proper divisors (1751450490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1133212122 is a wasteful number, since it uses less digits than its factorization.
1133212122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12844 (or 12834 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 1133212122 is about 33663.2161565112. The cubic root of 1133212122 is about 1042.5664309064.
Adding to 1133212122 its reverse (2212123311), we get a palindrome (3345335433).
The spelling of 1133212122 in words is "one billion, one hundred thirty-three million, two hundred twelve thousand, one hundred twenty-two".
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