Base | Representation |
---|---|
bin | 1001000010000010010… |
… | …11101010010101000000 |
3 | 1002200000111221110002111 |
4 | 10201001023222111000 |
5 | 20041024243040222 |
6 | 354321511025104 |
7 | 31264203600160 |
oct | 4410113522500 |
9 | 1080014843074 |
10 | 310331221312 |
11 | 10a67997a832 |
12 | 5018936b194 |
13 | 23358328a08 |
14 | 1103d2845a0 |
15 | 8114696777 |
hex | 48412ea540 |
310331221312 has 112 divisors (see below), whose sum is σ = 714274854912. Its totient is φ = 131020162560.
The previous prime is 310331221309. The next prime is 310331221349. The reversal of 310331221312 is 213122133013.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49076583 + ... + 49082905.
Almost surely, 2310331221312 is an apocalyptic number.
310331221312 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 310331221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357137427456).
310331221312 is an abundant number, since it is smaller than the sum of its proper divisors (403943633600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
310331221312 is a wasteful number, since it uses less digits than its factorization.
310331221312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7956 (or 7946 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 22.
Adding to 310331221312 its reverse (213122133013), we get a palindrome (523453354325).
The spelling of 310331221312 in words is "three hundred ten billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".
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