Base | Representation |
---|---|
bin | 10011001101001101… |
… | …01000111111100000 |
3 | 222121121121100022111 |
4 | 21212212220333200 |
5 | 132104200340000 |
6 | 4423103445104 |
7 | 513344641513 |
oct | 114646507740 |
9 | 28547540274 |
10 | 10311340000 |
11 | 44115343a5 |
12 | 1bb92b6794 |
13 | c84358a20 |
14 | 6db648d7a |
15 | 4053abcba |
hex | 2669a8fe0 |
10311340000 has 120 divisors (see below), whose sum is σ = 27319473720. Its totient is φ = 3807168000.
The previous prime is 10311339959. The next prime is 10311340003. The reversal of 10311340000 is 4311301.
10311340000 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 (13).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10311340003) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 240171 + ... + 279829.
It is an arithmetic number, because the mean of its divisors is an integer number (227662281).
Almost surely, 210311340000 is an apocalyptic number.
10311340000 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 10311340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659736860).
10311340000 is an abundant number, since it is smaller than the sum of its proper divisors (17008133720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10311340000 is an equidigital number, since it uses as much as digits as its factorization.
10311340000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39702 (or 39679 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
Adding to 10311340000 its reverse (4311301), we get a palindrome (10315651301).
The spelling of 10311340000 in words is "ten billion, three hundred eleven million, three hundred forty thousand".
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