| Base | Representation |
|---|---|
| bin | 111100011001001… |
| … | …011100000010000 |
| 3 | 2121121120121022100 |
| 4 | 330121023200100 |
| 5 | 4033341434210 |
| 6 | 244313040400 |
| 7 | 34052226024 |
| oct | 7431134020 |
| 9 | 2547517270 |
| 10 | 1013233680 |
| 11 | 47aa42508 |
| 12 | 2433b6100 |
| 13 | 131bc1874 |
| 14 | 987d4384 |
| 15 | 5de475c0 |
| hex | 3c64b810 |
1013233680 has 120 divisors (see below), whose sum is σ = 3409525080. Its totient is φ = 269660160.
The previous prime is 1013233679. The next prime is 1013233681. The reversal of 1013233680 is 863323101.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1013233679) and next prime (1013233681).
It can be written as a sum of positive squares in 4 ways, for example, as 118984464 + 894249216 = 10908^2 + 29904^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (1013233681) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474856 + ... + 476984.
It is an arithmetic number, because the mean of its divisors is an integer number (28412709).
Almost surely, 21013233680 is an apocalyptic number.
1013233680 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 1013233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704762540).
1013233680 is an abundant number, since it is smaller than the sum of its proper divisors (2396291400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013233680 is a wasteful number, since it uses less digits than its factorization.
1013233680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2809 (or 2800 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 1013233680 is about 31831.3317346290. The cubic root of 1013233680 is about 1004.3919095588.
Adding to 1013233680 its reverse (863323101), we get a palindrome (1876556781).
The spelling of 1013233680 in words is "one billion, thirteen million, two hundred thirty-three thousand, six hundred eighty".
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