| Base | Representation |
|---|---|
| bin | 100000011110110101011… |
| … | …100001110101101011000 |
| 3 | 21220101112010100111022101 |
| 4 | 200132311130032231120 |
| 5 | 243032401304244000 |
| 6 | 4425232145333144 |
| 7 | 320160212552452 |
| oct | 40366534165530 |
| 9 | 7811463314271 |
| 10 | 2232132103000 |
| 11 | 790707420608 |
| 12 | 3007286371b4 |
| 13 | 132648896737 |
| 14 | 7a0702212d2 |
| 15 | 3d0e2334e6a |
| hex | 207b570eb58 |
2232132103000 has 256 divisors, whose sum is σ = 5540832460800. Its totient is φ = 839313446400.
The previous prime is 2232132102923. The next prime is 2232132103007. The reversal of 2232132103000 is 3012312322.
2232132103000 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-3 number, since 3×22321321030003 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2232132103007) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682088337 + ... + 1682089663.
It is an arithmetic number, because the mean of its divisors is an integer number (21643876800).
Almost surely, 22232132103000 is an apocalyptic number.
2232132103000 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 2232132103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770416230400).
2232132103000 is an abundant number, since it is smaller than the sum of its proper divisors (3308700357800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232132103000 is a wasteful number, since it uses less digits than its factorization.
2232132103000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1987 (or 1973 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
Adding to 2232132103000 its reverse (3012312322), we get a palindrome (2235144415322).
The spelling of 2232132103000 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred three thousand".
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