| Base | Representation |
|---|---|
| bin | 100001011110011… |
| … | …0010110101100000 |
| 3 | 2220021120011011200 |
| 4 | 1002330302311200 |
| 5 | 4300021424440 |
| 6 | 303242441200 |
| 7 | 36556216062 |
| oct | 10274626540 |
| 9 | 2807504150 |
| 10 | 1123233120 |
| 11 | 527043739 |
| 12 | 274203200 |
| 13 | 14b9268a9 |
| 14 | a9269732 |
| 15 | 68924c30 |
| hex | 42f32d60 |
1123233120 has 144 divisors (see below), whose sum is σ = 3871485072. Its totient is φ = 296524800.
The previous prime is 1123233113. The next prime is 1123233157. The reversal of 1123233120 is 213323211.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1123233093 and 1123233102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141579 + ... + 149301.
It is an arithmetic number, because the mean of its divisors is an integer number (26885313).
Almost surely, 21123233120 is an apocalyptic number.
1123233120 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 1123233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935742536).
1123233120 is an abundant number, since it is smaller than the sum of its proper divisors (2748251952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1123233120 is a wasteful number, since it uses less digits than its factorization.
1123233120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7845 (or 7834 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1123233120 is about 33514.6702206661. The cubic root of 1123233120 is about 1039.4971434879.
Adding to 1123233120 its reverse (213323211), we get a palindrome (1336556331).
Subtracting from 1123233120 its reverse (213323211), we obtain a palindrome (909909909).
The spelling of 1123233120 in words is "one billion, one hundred twenty-three million, two hundred thirty-three thousand, one hundred twenty".
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