Base | Representation |
---|---|
bin | 1001011000011000111… |
… | …11110011111110001100 |
3 | 1010210222212220222222000 |
4 | 10230030133303332030 |
5 | 20240114021310012 |
6 | 404024413552300 |
7 | 32200456414416 |
oct | 4541437637614 |
9 | 1123885828860 |
10 | 322332213132 |
11 | 114778149596 |
12 | 525784a5690 |
13 | 2451b749ac7 |
14 | 1185b07d9b6 |
15 | 85b8060ddc |
hex | 4b0c7f3f8c |
322332213132 has 96 divisors (see below), whose sum is σ = 859397864640. Its totient is φ = 104401820160.
The previous prime is 322332213131. The next prime is 322332213139. The reversal of 322332213132 is 231312233223.
322332213132 is a `hidden beast` number, since 3 + 2 + 23 + 322 + 1 + 313 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 = 322332213096 and 322332213105.
It is not an unprimeable number, because it can be changed into a prime (322332213131) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2987958 + ... + 3093954.
It is an arithmetic number, because the mean of its divisors is an integer number (8952061090).
Almost surely, 2322332213132 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 322332213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429698932320).
322332213132 is an abundant number, since it is smaller than the sum of its proper divisors (537065651508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
322332213132 is a wasteful number, since it uses less digits than its factorization.
322332213132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106808 (or 106800 counting only the distinct ones).
The product of its digits is 7776, while the sum is 27.
Adding to 322332213132 its reverse (231312233223), we get a palindrome (553644446355).
The spelling of 322332213132 in words is "three hundred twenty-two billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-two".
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