Base | Representation |
---|---|
bin | 1101011101101101010… |
… | …1110111101010010010 |
3 | 211010001121121120100000 |
4 | 3113123111313222102 |
5 | 12242212140210002 |
6 | 254132552510430 |
7 | 22466104562310 |
oct | 3273325675222 |
9 | 733047546300 |
10 | 231313210002 |
11 | 8a110305356 |
12 | 389b63ab416 |
13 | 18a74795bc4 |
14 | b2a4ac90b0 |
15 | 603c4ec61c |
hex | 35db577a92 |
231313210002 has 96 divisors (see below), whose sum is σ = 599871452544. Its totient is φ = 65435040000.
The previous prime is 231313209989. The next prime is 231313210019. The reversal of 231313210002 is 200012313132.
It is a super-3 number, since 3×2313132100023 (a number of 35 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 (18).
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 47 ways as a sum of consecutive naturals, for example, 7002 + ... + 680202.
It is an arithmetic number, because the mean of its divisors is an integer number (6248660964).
Almost surely, 2231313210002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 231313210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299935726272).
231313210002 is an abundant number, since it is smaller than the sum of its proper divisors (368558242542).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231313210002 is a wasteful number, since it uses less digits than its factorization.
231313210002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 673326 (or 673314 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 231313210002 its reverse (200012313132), we get a palindrome (431325523134).
The spelling of 231313210002 in words is "two hundred thirty-one billion, three hundred thirteen million, two hundred ten thousand, two".
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