| Base | Representation |
|---|---|
| bin | 1101011101010011101… |
| … | …1100011011100000000 |
| 3 | 211002210010012212011220 |
| 4 | 3113110323203130000 |
| 5 | 12242002121220003 |
| 6 | 254114151235040 |
| 7 | 22463330403660 |
| oct | 3272473433400 |
| 9 | 732703185156 |
| 10 | 231205648128 |
| 11 | 8a065619544 |
| 12 | 38986378a80 |
| 13 | 18a58405520 |
| 14 | b2946ca1a0 |
| 15 | 6032d52353 |
| hex | 35d4ee3700 |
231205648128 has 288 divisors, whose sum is σ = 758967745536. Its totient is φ = 60846833664.
The previous prime is 231205648087. The next prime is 231205648129. The reversal of 231205648128 is 821846502132.
231205648128 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 Harshad number since it is a multiple of its sum of digits (42).
It is a self number, because there is not a number n which added to its sum of digits gives 231205648128.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (231205648129) 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 31 ways as a sum of consecutive naturals, for example, 35150376 + ... + 35156952.
It is an arithmetic number, because the mean of its divisors is an integer number (2635304672).
Almost surely, 2231205648128 is an apocalyptic number.
231205648128 is a gapful number since it is divisible by the number (28) 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 231205648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379483872768).
231205648128 is an abundant number, since it is smaller than the sum of its proper divisors (527762097408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231205648128 is a wasteful number, since it uses less digits than its factorization.
231205648128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7119 (or 7105 counting only the distinct ones).
The product of its (nonzero) digits is 184320, while the sum is 42.
The spelling of 231205648128 in words is "two hundred thirty-one billion, two hundred five million, six hundred forty-eight thousand, one hundred twenty-eight".
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