Base | Representation |
---|---|
bin | 11000010000000111… |
… | …10100001111100000 |
3 | 1020121101122121221212 |
4 | 30020003310033200 |
5 | 203131122320112 |
6 | 5551550205252 |
7 | 640436123423 |
oct | 141003641740 |
9 | 36541577855 |
10 | 13020120032 |
11 | 5581577987 |
12 | 26344b3828 |
13 | 12c65c794a |
14 | 8b72c59ba |
15 | 5130c8522 |
hex | 3080f43e0 |
13020120032 has 72 divisors (see below), whose sum is σ = 27205157448. Its totient is φ = 6129250560.
The previous prime is 13020120019. The next prime is 13020120049. The reversal of 13020120032 is 23002102031.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 13020119989 and 13020120016.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132103 + ... + 1143545.
It is an arithmetic number, because the mean of its divisors is an integer number (377849409).
Almost surely, 213020120032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13020120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602578724).
13020120032 is an abundant number, since it is smaller than the sum of its proper divisors (14185037416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13020120032 is a wasteful number, since it uses less digits than its factorization.
13020120032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11552 (or 11513 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
Adding to 13020120032 its reverse (23002102031), we get a palindrome (36022222063).
The spelling of 13020120032 in words is "thirteen billion, twenty million, one hundred twenty thousand, thirty-two".
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