Base | Representation |
---|---|
bin | 1101100100000000000… |
… | …1010110011111111110 |
3 | 211021102022222202112000 |
4 | 3121000001112133332 |
5 | 12304142044030420 |
6 | 255012332323130 |
7 | 22556005061604 |
oct | 3310001263776 |
9 | 737368882460 |
10 | 233002330110 |
11 | 8a8a7817290 |
12 | 391a80134a6 |
13 | 18c83703264 |
14 | b3c517b874 |
15 | 60da952690 |
hex | 36400567fe |
233002330110 has 128 divisors (see below), whose sum is σ = 678984768000. Its totient is φ = 56388764160.
The previous prime is 233002330061. The next prime is 233002330117. The reversal of 233002330110 is 11033200332.
233002330110 is a `hidden beast` number, since 2 + 330 + 0 + 2 + 330 + 1 + 1 + 0 = 666.
233002330110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2330023301102 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233002330117) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 1676566 + ... + 1810214.
It is an arithmetic number, because the mean of its divisors is an integer number (5304568500).
Almost surely, 2233002330110 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233002330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339492384000).
233002330110 is an abundant number, since it is smaller than the sum of its proper divisors (445982437890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233002330110 is a wasteful number, since it uses less digits than its factorization.
233002330110 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134263 (or 134257 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 233002330110 its reverse (11033200332), we get a palindrome (244035530442).
The spelling of 233002330110 in words is "two hundred thirty-three billion, two million, three hundred thirty thousand, one hundred ten".
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