Base | Representation |
---|---|
bin | 10011000010101101… |
… | …10101010111101000 |
3 | 222101110221222021200 |
4 | 21201112311113220 |
5 | 131414131412222 |
6 | 4410241004200 |
7 | 511225463265 |
oct | 114126652750 |
9 | 28343858250 |
10 | 10223310312 |
11 | 4376879396 |
12 | 1b93923660 |
13 | c6c046857 |
14 | 6cda9226c |
15 | 3ec7bdeac |
hex | 2615b55e8 |
10223310312 has 48 divisors (see below), whose sum is σ = 28363460580. Its totient is φ = 3324652800.
The previous prime is 10223310287. The next prime is 10223310337. The reversal of 10223310312 is 21301332201.
10223310312 is a `hidden beast` number, since 1 + 0 + 22 + 331 + 0 + 312 = 666.
10223310312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10223310287) and next prime (10223310337).
It can be written as a sum of positive squares in 2 ways, for example, as 9942881796 + 280428516 = 99714^2 + 16746^2 .
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 (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1728639 + ... + 1734542.
Almost surely, 210223310312 is an apocalyptic number.
10223310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10223310312 is an abundant number, since it is smaller than the sum of its proper divisors (18140150268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10223310312 is a wasteful number, since it uses less digits than its factorization.
10223310312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3463234 (or 3463227 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10223310312 its reverse (21301332201), we get a palindrome (31524642513).
The spelling of 10223310312 in words is "ten billion, two hundred twenty-three million, three hundred ten thousand, three hundred twelve".
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