| Base | Representation |
|---|---|
| bin | 11011111110000011000000… |
| … | …111110101000001010000000 |
| 3 | 121010112202011010112120000120 |
| 4 | 123332003000332220022000 |
| 5 | 112110403213324002240 |
| 6 | 1113342304125220240 |
| 7 | 34624154520323541 |
| oct | 3376030076501200 |
| 9 | 533482133476016 |
| 10 | 123011101000320 |
| 11 | 36216795692815 |
| 12 | 11968460a01680 |
| 13 | 5383b87a88100 |
| 14 | 2253aaa4084c8 |
| 15 | e34c03739ad0 |
| hex | 6fe0c0fa8280 |
123011101000320 has 384 divisors, whose sum is σ = 436054526547840. Its totient is φ = 29461283684352.
The previous prime is 123011101000303. The next prime is 123011101000321. The reversal of 123011101000320 is 23000101110321.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (384).
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 123011101000320.
It is not an unprimeable number, because it can be changed into a prime (123011101000321) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6882757 + ... + 17128763.
It is an arithmetic number, because the mean of its divisors is an integer number (1135558662885).
Almost surely, 2123011101000320 is an apocalyptic number.
123011101000320 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 123011101000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218027263273920).
123011101000320 is an abundant number, since it is smaller than the sum of its proper divisors (313043425547520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123011101000320 is a wasteful number, since it uses less digits than its factorization.
123011101000320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10246092 (or 10246067 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 123011101000320 its reverse (23000101110321), we get a palindrome (146011202110641).
The spelling of 123011101000320 in words is "one hundred twenty-three trillion, eleven billion, one hundred one million, three hundred twenty", and thus it is an aban number.
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