Base | Representation |
---|---|
bin | 1000101001011001… |
… | …0010110100000000 |
3 | 12222202120002122212 |
4 | 2022112102310000 |
5 | 14223200200112 |
6 | 1022153121252 |
7 | 111343011326 |
oct | 21226226400 |
9 | 5882502585 |
10 | 2321100032 |
11 | a91222899 |
12 | 5493b9228 |
13 | 2acb52194 |
14 | 1803a1d16 |
15 | d8b8d522 |
hex | 8a592d00 |
2321100032 has 108 divisors (see below), whose sum is σ = 4979275980. Its totient is φ = 1079574528.
The previous prime is 2321100013. The next prime is 2321100071. The reversal of 2321100032 is 2300011232.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 738969856 + 1582130176 = 27184^2 + 39776^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10135694 + ... + 10135922.
Almost surely, 22321100032 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 2321100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489637990).
2321100032 is an abundant number, since it is smaller than the sum of its proper divisors (2658175948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2321100032 is a wasteful number, since it uses less digits than its factorization.
2321100032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 385 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2321100032 is about 48177.7960475570. The cubic root of 2321100032 is about 1324.0303872448.
Adding to 2321100032 its reverse (2300011232), we get a palindrome (4621111264).
The spelling of 2321100032 in words is "two billion, three hundred twenty-one million, one hundred thousand, thirty-two".
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