Base | Representation |
---|---|
bin | 1001000101110000110… |
… | …00111110111001000000 |
3 | 1002212011220020222222110 |
4 | 10202320120332321000 |
5 | 20104123241431422 |
6 | 355252153335320 |
7 | 31364600262036 |
oct | 4427030767100 |
9 | 1085156228873 |
10 | 312331202112 |
11 | 110505903a26 |
12 | 50647107540 |
13 | 235b67973c7 |
14 | 1118cb36556 |
15 | 81d005360c |
hex | 48b863ee40 |
312331202112 has 112 divisors (see below), whose sum is σ = 835265255552. Its totient is φ = 102996541440.
The previous prime is 312331202089. The next prime is 312331202143. The reversal of 312331202112 is 211202133213.
It is an unprimeable number.
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, 6683853 + ... + 6730419.
It is an arithmetic number, because the mean of its divisors is an integer number (7457725496).
Almost surely, 2312331202112 is an apocalyptic number.
312331202112 is a gapful number since it is divisible by the number (32) 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 312331202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417632627776).
312331202112 is an abundant number, since it is smaller than the sum of its proper divisors (522934053440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312331202112 is a wasteful number, since it uses less digits than its factorization.
312331202112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46956 (or 46946 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
Adding to 312331202112 its reverse (211202133213), we get a palindrome (523533335325).
The spelling of 312331202112 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred two thousand, one hundred twelve".
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