Base | Representation |
---|---|
bin | 100001101101011… |
… | …1000111010011000 |
3 | 2220211101222010120 |
4 | 1003122320322120 |
5 | 4304031403303 |
6 | 304123513240 |
7 | 40013244510 |
oct | 10332707230 |
9 | 2824358116 |
10 | 1131122328 |
11 | 530541a46 |
12 | 276988820 |
13 | 15045976b |
14 | aa320840 |
15 | 69482553 |
hex | 436b8e98 |
1131122328 has 64 divisors (see below), whose sum is σ = 3241701120. Its totient is φ = 322185600.
The previous prime is 1131122323. The next prime is 1131122339. The reversal of 1131122328 is 8232211311.
It is a Harshad number since it is a multiple of its sum of digits (24).
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 = 1131122298 and 1131122307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1131122323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45438 + ... + 65778.
It is an arithmetic number, because the mean of its divisors is an integer number (50651580).
Almost surely, 21131122328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1131122328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620850560).
1131122328 is an abundant number, since it is smaller than the sum of its proper divisors (2110578792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131122328 is a wasteful number, since it uses less digits than its factorization.
1131122328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20688 (or 20684 counting only the distinct ones).
The product of its digits is 576, while the sum is 24.
The square root of 1131122328 is about 33632.1621071260. The cubic root of 1131122328 is about 1041.9251594550.
Adding to 1131122328 its reverse (8232211311), we get a palindrome (9363333639).
It can be divided in two parts, 113112 and 2328, that added together give a triangular number (115440 = T480).
The spelling of 1131122328 in words is "one billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty-eight".
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