Base | Representation |
---|---|
bin | 1000101111001100001… |
… | …01101110010000110000 |
3 | 1001200220100201201100200 |
4 | 10113212011232100300 |
5 | 14404314012101222 |
6 | 345525502315200 |
7 | 30455362265265 |
oct | 4274605562060 |
9 | 1050810651320 |
10 | 300213003312 |
11 | 1063574608a2 |
12 | 4a224888b00 |
13 | 22404cb9781 |
14 | 1075d54b26c |
15 | 7c21235eac |
hex | 45e616e430 |
300213003312 has 120 divisors (see below), whose sum is σ = 872292242640. Its totient is φ = 96271096320.
The previous prime is 300213003301. The next prime is 300213003313. The reversal of 300213003312 is 213300312003.
300213003312 is a `hidden beast` number, since 30 + 0 + 2 + 1 + 300 + 331 + 2 = 666.
It is a super-2 number, since 2×3002130033122 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (300213003313) 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 23 ways as a sum of consecutive naturals, for example, 1026987 + ... + 1286517.
It is an arithmetic number, because the mean of its divisors is an integer number (7269102022).
Almost surely, 2300213003312 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 300213003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436146121320).
300213003312 is an abundant number, since it is smaller than the sum of its proper divisors (572079239328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300213003312 is a wasteful number, since it uses less digits than its factorization.
300213003312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 259851 (or 259842 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 300213003312 its reverse (213300312003), we get a palindrome (513513315315).
The spelling of 300213003312 in words is "three hundred billion, two hundred thirteen million, three thousand, three hundred twelve".
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