Base | Representation |
---|---|
bin | 1100000000011110110001… |
… | …0111100110111001011100 |
3 | 1201202010200222000112210002 |
4 | 3000013230113212321130 |
5 | 3212302003412042340 |
6 | 44025033205233432 |
7 | 2531561532230204 |
oct | 300075427467134 |
9 | 51663628015702 |
10 | 13202400112220 |
11 | 423011974a810 |
12 | 1592869102878 |
13 | 749c9a302327 |
14 | 338ddcb95404 |
15 | 17d6586a5715 |
hex | c01ec5e6e5c |
13202400112220 has 96 divisors (see below), whose sum is σ = 30455096587776. Its totient is φ = 4767637305600.
The previous prime is 13202400112211. The next prime is 13202400112249. The reversal of 13202400112220 is 2221100420231.
13202400112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 13202400112192 and 13202400112201.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62446409 + ... + 62657471.
It is an arithmetic number, because the mean of its divisors is an integer number (317240589456).
Almost surely, 213202400112220 is an apocalyptic number.
13202400112220 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 13202400112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227548293888).
13202400112220 is an abundant number, since it is smaller than the sum of its proper divisors (17252696475556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13202400112220 is a wasteful number, since it uses less digits than its factorization.
13202400112220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 213051 (or 213049 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 13202400112220 its reverse (2221100420231), we get a palindrome (15423500532451).
The spelling of 13202400112220 in words is "thirteen trillion, two hundred two billion, four hundred million, one hundred twelve thousand, two hundred twenty".
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