Base | Representation |
---|---|
bin | 100101110001110011110111… |
… | …0010100100110110000000001 |
3 | 1121120120200210120001211110212 |
4 | 1023203213232110212300001 |
5 | 322023411102203300413 |
6 | 3134425042000203505 |
7 | 126664656364612601 |
oct | 11343475624466001 |
9 | 1546520716054425 |
10 | 332301323103233 |
11 | 969772218a5700 |
12 | 3132a280909595 |
13 | 11355b5a070a43 |
14 | 5c0b6813cac01 |
15 | 2863dc0029ca8 |
hex | 12e39ee526c01 |
332301323103233 has 24 divisors (see below), whose sum is σ = 373017874700520. Its totient is φ = 295740413408000.
The previous prime is 332301323103221. The next prime is 332301323103307.
It is a happy number.
332301323103233 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 193175334955009 + 139125988148224 = 13898753^2 + 11795168^2 .
It is not a de Polignac number, because 332301323103233 - 234 = 332284143234049 is a prime.
It is a super-2 number, since 2×3323013231032332 (a number of 30 digits) contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 332301323103233.
It is not an unprimeable number, because it can be changed into a prime (332301325103233) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 151670810 + ... + 153846147.
It is an arithmetic number, because the mean of its divisors is an integer number (15542411445855).
Almost surely, 2332301323103233 is an apocalyptic number.
It is an amenable number.
332301323103233 is a deficient number, since it is larger than the sum of its proper divisors (40716551597287).
332301323103233 is a wasteful number, since it uses less digits than its factorization.
332301323103233 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 305517169 (or 305517158 counting only the distinct ones).
The product of its (nonzero) digits is 52488, while the sum is 32.
The spelling of 332301323103233 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred twenty-three million, one hundred three thousand, two hundred thirty-three".
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