| Base | Representation |
|---|---|
| bin | 1101100100000001111… |
| … | …1000111010010011000 |
| 3 | 211021102212200010212100 |
| 4 | 3121000133013102120 |
| 5 | 12304201043211440 |
| 6 | 255013211443400 |
| 7 | 22556131305153 |
| oct | 3310037072230 |
| 9 | 737385603770 |
| 10 | 233010132120 |
| 11 | 8a901166027 |
| 12 | 391aa756560 |
| 13 | 18c8520552c |
| 14 | b3c620cc9a |
| 15 | 60db494230 |
| hex | 36407c7498 |
233010132120 has 192 divisors, whose sum is σ = 802183824000. Its totient is φ = 58455097344.
The previous prime is 233010132109. The next prime is 233010132127. The reversal of 233010132120 is 21231010332.
233010132120 is a `hidden beast` number, since 2 + 330 + 10 + 1 + 321 + 2 + 0 = 666.
233010132120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 233010132093 and 233010132102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233010132127) by changing a digit.
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, 16449601 + ... + 16463759.
It is an arithmetic number, because the mean of its divisors is an integer number (4178040750).
Almost surely, 2233010132120 is an apocalyptic number.
233010132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233010132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401091912000).
233010132120 is an abundant number, since it is smaller than the sum of its proper divisors (569173691880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233010132120 is a wasteful number, since it uses less digits than its factorization.
233010132120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16882 (or 16875 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 233010132120 its reverse (21231010332), we get a palindrome (254241142452).
The spelling of 233010132120 in words is "two hundred thirty-three billion, ten million, one hundred thirty-two thousand, one hundred twenty".
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