| Base | Representation |
|---|---|
| bin | 1100010011100… |
| … | …11011001100000 |
| 3 | 21012020210012220 |
| 4 | 12021303121200 |
| 5 | 202411424440 |
| 6 | 14124351040 |
| 7 | 2362316124 |
| oct | 611633140 |
| 9 | 235223186 |
| 10 | 103233120 |
| 11 | 532aa631 |
| 12 | 2a6a5480 |
| 13 | 185062b3 |
| 14 | d9d3584 |
| 15 | 90e28d0 |
| hex | 6273660 |
103233120 has 96 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 27409920.
The previous prime is 103233107. The next prime is 103233133. The reversal of 103233120 is 21332301.
It is an interprime number because it is at equal distance from previous prime (103233107) and next prime (103233133).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 103233120.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206631 + ... + 207129.
It is an arithmetic number, because the mean of its divisors is an integer number (3402000).
Almost surely, 2103233120 is an apocalyptic number.
103233120 is a gapful number since it is divisible by the number (10) 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 103233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).
103233120 is an abundant number, since it is smaller than the sum of its proper divisors (223358880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103233120 is a wasteful number, since it uses less digits than its factorization.
103233120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 948 (or 940 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 103233120 is about 10160.3700720003. The cubic root of 103233120 is about 469.1081927082.
Adding to 103233120 its reverse (21332301), we get a palindrome (124565421).
The spelling of 103233120 in words is "one hundred three million, two hundred thirty-three thousand, one hundred twenty".
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