Base | Representation |
---|---|
bin | 1011110101111111100011… |
… | …0111010001010000000000 |
3 | 1201002220121222102222211111 |
4 | 2331133320313101100000 |
5 | 3201324002101043240 |
6 | 43410154212053104 |
7 | 2512552531055410 |
oct | 275377067212000 |
9 | 51086558388744 |
10 | 13022221112320 |
11 | 4170769369332 |
12 | 1563963604194 |
13 | 735cb45771a4 |
14 | 3303c92c2640 |
15 | 178b103e01ea |
hex | bd7f8dd1400 |
13022221112320 has 176 divisors, whose sum is σ = 35704415415168. Its totient is φ = 4464290856960.
The previous prime is 13022221112281. The next prime is 13022221112347. The reversal of 13022221112320 is 2321112222031.
13022221112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 13022221112291 and 13022221112300.
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, 619770615 + ... + 619791625.
Almost surely, 213022221112320 is an apocalyptic number.
13022221112320 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 13022221112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17852207707584).
13022221112320 is an abundant number, since it is smaller than the sum of its proper divisors (22682194302848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13022221112320 is a wasteful number, since it uses less digits than its factorization.
13022221112320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38336 (or 38318 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
Adding to 13022221112320 its reverse (2321112222031), we get a palindrome (15343333334351).
The spelling of 13022221112320 in words is "thirteen trillion, twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, three hundred twenty".
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