| Base | Representation |
|---|---|
| bin | 1101011001001100011… |
| … | …0111101111100000000 |
| 3 | 210222221011021101201000 |
| 4 | 3112103012331330000 |
| 5 | 12232221421002000 |
| 6 | 253412422212000 |
| 7 | 22424061103263 |
| oct | 3262306757400 |
| 9 | 728834241630 |
| 10 | 230101344000 |
| 11 | 89649234500 |
| 12 | 38718584000 |
| 13 | 189106a8728 |
| 14 | b1cbb8acda |
| 15 | 5ebae1b000 |
| hex | 35931bdf00 |
230101344000 has 1728 divisors, whose sum is σ = 977101332480. Its totient is φ = 53222400000.
The previous prime is 230101343963. The next prime is 230101344047. The reversal of 230101344000 is 443101032.
230101344000 is a `hidden beast` number, since 230 + 1 + 0 + 1 + 34 + 400 + 0 = 666.
230101344000 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 tau number, because it is divible by the number of its divisors (1728).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 191 ways as a sum of consecutive naturals, for example, 3240863965 + ... + 3240864035.
It is an arithmetic number, because the mean of its divisors is an integer number (565452160).
Almost surely, 2230101344000 is an apocalyptic number.
230101344000 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 230101344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488550666240).
230101344000 is an abundant number, since it is smaller than the sum of its proper divisors (746999988480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230101344000 is a wasteful number, since it uses less digits than its factorization.
230101344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 230101344000 its reverse (443101032), we get a palindrome (230544445032).
The spelling of 230101344000 in words is "two hundred thirty billion, one hundred one million, three hundred forty-four thousand".
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