Base | Representation |
---|---|
bin | 10011001011111111… |
… | …11101011110111000 |
3 | 222120220112012021111 |
4 | 21211333331132320 |
5 | 132044101402222 |
6 | 4422102250104 |
7 | 513162520654 |
oct | 114577753670 |
9 | 28526465244 |
10 | 10301200312 |
11 | 4406839297 |
12 | 1bb5a26934 |
13 | c82218700 |
14 | 6da169a64 |
15 | 404557777 |
hex | 265ffd7b8 |
10301200312 has 48 divisors (see below), whose sum is σ = 20958075000. Its totient is φ = 4744561536.
The previous prime is 10301200297. The next prime is 10301200321. The reversal of 10301200312 is 21300210301.
It is a super-3 number, since 3×103012003123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a junction number, because it is equal to n+sod(n) for n = 10301200292 and 10301200301.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667014 + ... + 682282.
Almost surely, 210301200312 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 10301200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479037500).
10301200312 is an abundant number, since it is smaller than the sum of its proper divisors (10656874688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10301200312 is a wasteful number, since it uses less digits than its factorization.
10301200312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15800 (or 15783 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
Adding to 10301200312 its reverse (21300210301), we get a palindrome (31601410613).
The spelling of 10301200312 in words is "ten billion, three hundred one million, two hundred thousand, three hundred twelve".
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