Base | Representation |
---|---|
bin | 1011111011101011110011… |
… | …1101010001010000000000 |
3 | 1201110021000101020101100020 |
4 | 2332322330331101100000 |
5 | 3204424230034100112 |
6 | 43523124523253440 |
7 | 2522613560333463 |
oct | 276727475212000 |
9 | 51407011211306 |
10 | 13120000300032 |
11 | 41a918514a27a |
12 | 157a8b167a280 |
13 | 742297c49202 |
14 | 3350234092da |
15 | 17b43469b48c |
hex | beebcf51400 |
13120000300032 has 88 divisors (see below), whose sum is σ = 34977806792832. Its totient is φ = 4372305100800.
The previous prime is 13120000300007. The next prime is 13120000300103. The reversal of 13120000300032 is 23000300002131.
13120000300032 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 = 13120000299984 and 13120000300020.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12620532 + ... + 13620492.
Almost surely, 213120000300032 is an apocalyptic number.
13120000300032 is a gapful number since it is divisible by the number (12) 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 13120000300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488903396416).
13120000300032 is an abundant number, since it is smaller than the sum of its proper divisors (21857806492800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13120000300032 is an equidigital number, since it uses as much as digits as its factorization.
13120000300032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1004255 (or 1004237 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 13120000300032 its reverse (23000300002131), we get a palindrome (36120300302163).
The spelling of 13120000300032 in words is "thirteen trillion, one hundred twenty billion, three hundred thousand, thirty-two".
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