Base | Representation |
---|---|
bin | 1101100101001100000… |
… | …1100001111101000010 |
3 | 211022020112220012010200 |
4 | 3121103001201331002 |
5 | 12310320203103010 |
6 | 255104121510030 |
7 | 22566626000544 |
oct | 3312301417502 |
9 | 738215805120 |
10 | 233321144130 |
11 | 8aa50780a48 |
12 | 39276942316 |
13 | 1900478a6c9 |
14 | b41564b694 |
15 | 610892acc0 |
hex | 3653061f42 |
233321144130 has 96 divisors (see below), whose sum is σ = 610090138944. Its totient is φ = 61864994688.
The previous prime is 233321144113. The next prime is 233321144159. The reversal of 233321144130 is 31441123332.
It is a happy number.
233321144130 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 211 + 441 + 3 + 0 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 233321144094 and 233321144103.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39765457 + ... + 39771323.
It is an arithmetic number, because the mean of its divisors is an integer number (6355105614).
Almost surely, 2233321144130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233321144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305045069472).
233321144130 is an abundant number, since it is smaller than the sum of its proper divisors (376768994814).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233321144130 is a wasteful number, since it uses less digits than its factorization.
233321144130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8320 (or 8317 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 233321144130 its reverse (31441123332), we get a palindrome (264762267462).
The spelling of 233321144130 in words is "two hundred thirty-three billion, three hundred twenty-one million, one hundred forty-four thousand, one hundred thirty".
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