Base | Representation |
---|---|
bin | 10011010011100001… |
… | …01011011111010000 |
3 | 222202022021011022122 |
4 | 21221300223133100 |
5 | 132211230201222 |
6 | 4432234553412 |
7 | 514560060506 |
oct | 115160533720 |
9 | 28668234278 |
10 | 10364303312 |
11 | 4439419530 |
12 | 2012b98868 |
13 | c92310b6c |
14 | 7046b4676 |
15 | 409d6ea42 |
hex | 269c2b7d0 |
10364303312 has 80 divisors (see below), whose sum is σ = 23283985920. Its totient is φ = 4419619200.
The previous prime is 10364303311. The next prime is 10364303321. The reversal of 10364303312 is 21330346301.
It is a happy number.
10364303312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×103643033123 (a number of 31 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10364303311) 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 15 ways as a sum of consecutive naturals, for example, 329387 + ... + 359477.
It is an arithmetic number, because the mean of its divisors is an integer number (291049824).
Almost surely, 210364303312 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 10364303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641992960).
10364303312 is an abundant number, since it is smaller than the sum of its proper divisors (12919682608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10364303312 is a wasteful number, since it uses less digits than its factorization.
10364303312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30232 (or 30226 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 26.
Adding to 10364303312 its reverse (21330346301), we get a palindrome (31694649613).
The spelling of 10364303312 in words is "ten billion, three hundred sixty-four million, three hundred three thousand, three hundred twelve".
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