Base | Representation |
---|---|
bin | 100001101111100… |
… | …0011010001001000 |
3 | 2220220110101200200 |
4 | 1003133003101020 |
5 | 4304321311240 |
6 | 304203132200 |
7 | 40025440320 |
oct | 10337032110 |
9 | 2826411620 |
10 | 1132213320 |
11 | 531117697 |
12 | 277214060 |
13 | 15074c214 |
14 | aa526280 |
15 | 695ea930 |
hex | 437c3448 |
1132213320 has 192 divisors, whose sum is σ = 4319377920. Its totient is φ = 251776512.
The previous prime is 1132213309. The next prime is 1132213321. The reversal of 1132213320 is 233122311.
1132213320 is a `hidden beast` number, since 1 + 132 + 213 + 320 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1132213293 and 1132213302.
It is not an unprimeable number, because it can be changed into a prime (1132213321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87169 + ... + 99311.
It is an arithmetic number, because the mean of its divisors is an integer number (22496760).
Almost surely, 21132213320 is an apocalyptic number.
1132213320 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 1132213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159688960).
1132213320 is an abundant number, since it is smaller than the sum of its proper divisors (3187164600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1132213320 is a wasteful number, since it uses less digits than its factorization.
1132213320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12204 (or 12197 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1132213320 is about 33648.3776726308. The cubic root of 1132213320 is about 1042.2600382780.
Adding to 1132213320 its reverse (233122311), we get a palindrome (1365335631).
It can be divided in two parts, 11322 and 13320, that added together give a palindrome (24642).
The spelling of 1132213320 in words is "one billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".
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