Base | Representation |
---|---|
bin | 11000010011111010… |
… | …10110111000010100 |
3 | 1020200121121100110000 |
4 | 30021331112320110 |
5 | 203212301400312 |
6 | 5555045131300 |
7 | 641304003465 |
oct | 141175267024 |
9 | 36617540400 |
10 | 13051981332 |
11 | 5598559835 |
12 | 26430b9b30 |
13 | 13000a1ba0 |
14 | 8bb61ad6c |
15 | 515cbdadc |
hex | 309f56e14 |
13051981332 has 120 divisors (see below), whose sum is σ = 37083523400. Its totient is φ = 3979010304.
The previous prime is 13051981303. The next prime is 13051981343. The reversal of 13051981332 is 23318915031.
13051981332 is a `hidden beast` number, since 1 + 3 + 0 + 519 + 8 + 133 + 2 = 666.
13051981332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 605455236 + 12446526096 = 24606^2 + 111564^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444894 + ... + 473322.
Almost surely, 213051981332 is an apocalyptic number.
13051981332 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 13051981332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541761700).
13051981332 is an abundant number, since it is smaller than the sum of its proper divisors (24031542068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13051981332 is a wasteful number, since it uses less digits than its factorization.
13051981332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28567 (or 28556 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The spelling of 13051981332 in words is "thirteen billion, fifty-one million, nine hundred eighty-one thousand, three hundred thirty-two".
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