| Base | Representation |
|---|---|
| bin | 1100000111010101111111… |
| … | …0100010001101100110000 |
| 3 | 1202011102000200120112021220 |
| 4 | 3001311133310101230300 |
| 5 | 3221214434041440100 |
| 6 | 44155132321145040 |
| 7 | 2543234323262454 |
| oct | 301653764215460 |
| 9 | 52142020515256 |
| 10 | 13320301124400 |
| 11 | 42761207a8256 |
| 12 | 15b1691a8b180 |
| 13 | 75813969446a |
| 14 | 3409c5436664 |
| 15 | 181759243aa0 |
| hex | c1d5fd11b30 |
13320301124400 has 240 divisors, whose sum is σ = 42941693639040. Its totient is φ = 3529420646400.
The previous prime is 13320301124393. The next prime is 13320301124401. The reversal of 13320301124400 is 442110302331.
It is a happy number.
13320301124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (13320301124401) 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, 1363522716 + ... + 1363532484.
It is an arithmetic number, because the mean of its divisors is an integer number (178923723496).
Almost surely, 213320301124400 is an apocalyptic number.
13320301124400 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 13320301124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470846819520).
13320301124400 is an abundant number, since it is smaller than the sum of its proper divisors (29621392514640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13320301124400 is a wasteful number, since it uses less digits than its factorization.
13320301124400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16924 (or 16913 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 13320301124400 its reverse (442110302331), we get a palindrome (13762411426731).
The spelling of 13320301124400 in words is "thirteen trillion, three hundred twenty billion, three hundred one million, one hundred twenty-four thousand, four hundred".
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