Base | Representation |
---|---|
bin | 1101100101001001110… |
… | …0000011110011110100 |
3 | 211022012212102010210100 |
4 | 3121102130003303310 |
5 | 12310310144240312 |
6 | 255103131154100 |
7 | 22566446336625 |
oct | 3312234036364 |
9 | 738185363710 |
10 | 233311321332 |
11 | 8aa46181a31 |
12 | 392735a5930 |
13 | 1900272b6bb |
14 | b414211a4c |
15 | 6107b3a5dc |
hex | 3652703cf4 |
233311321332 has 72 divisors (see below), whose sum is σ = 621234956160. Its totient is φ = 73625535360.
The previous prime is 233311321291. The next prime is 233311321363. The reversal of 233311321332 is 233123113332.
233311321332 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 1 + 1 + 321 + 332 = 666.
233311321332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
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 = 233311321296 and 233311321305.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861157 + ... + 1099187.
It is an arithmetic number, because the mean of its divisors is an integer number (8628263280).
Almost surely, 2233311321332 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 233311321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310617478080).
233311321332 is an abundant number, since it is smaller than the sum of its proper divisors (387923634828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233311321332 is a wasteful number, since it uses less digits than its factorization.
233311321332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239493 (or 239488 counting only the distinct ones).
The product of its digits is 5832, while the sum is 27.
Adding to 233311321332 its reverse (233123113332), we get a palindrome (466434434664).
The spelling of 233311321332 in words is "two hundred thirty-three billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty-two".
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