| Base | Representation |
|---|---|
| bin | 1101011101101111010… |
| … | …0011001100001001000 |
| 3 | 211010002011200011101100 |
| 4 | 3113123310121201020 |
| 5 | 12242221212304000 |
| 6 | 254133440221400 |
| 7 | 22466232603543 |
| oct | 3273364314110 |
| 9 | 733064604340 |
| 10 | 231321213000 |
| 11 | 8a1148810a9 |
| 12 | 389b900a860 |
| 13 | 18a763387c7 |
| 14 | b2a5bad85a |
| 15 | 603d07da00 |
| hex | 35dbd19848 |
231321213000 has 192 divisors, whose sum is σ = 782234359920. Its totient is φ = 61656576000.
The previous prime is 231321212971. The next prime is 231321213007. The reversal of 231321213000 is 312123132.
231321213000 is a `hidden beast` number, since 23 + 1 + 321 + 21 + 300 + 0 = 666.
231321213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 5112536004 + 226208676996 = 71502^2 + 475614^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (231321213007) 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 47 ways as a sum of consecutive naturals, for example, 24664312 + ... + 24673688.
Almost surely, 2231321213000 is an apocalyptic number.
231321213000 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 231321213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391117179960).
231321213000 is an abundant number, since it is smaller than the sum of its proper divisors (550913146920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231321213000 is a wasteful number, since it uses less digits than its factorization.
231321213000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12145 (or 12128 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 231321213000 its reverse (312123132), we get a palindrome (231633336132).
The spelling of 231321213000 in words is "two hundred thirty-one billion, three hundred twenty-one million, two hundred thirteen thousand".
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