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12103330221 = 32371132631223
BaseRepresentation
bin10110100010110101…
…00010100110101101
31011020111112212202200
423101122202212231
5144241423031341
65321000212113
7605634416013
oct132132424655
934214485680
1012103330221
115151018154
12241946a039
1311ab6a3078
1482b6388b3
154ac881db6
hex2d16a29ad

12103330221 has 48 divisors (see below), whose sum is σ = 18197726976. Its totient is φ = 7745407488.

The previous prime is 12103330207. The next prime is 12103330223. The reversal of 12103330221 is 12203330121.

12103330221 is a `hidden beast` number, since 12 + 103 + 330 + 221 = 666.

12103330221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12103330221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12103330194 and 12103330203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103330223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9895816 + ... + 9897038.

It is an arithmetic number, because the mean of its divisors is an integer number (379119312).

Almost surely, 212103330221 is an apocalyptic number.

It is an amenable number.

12103330221 is a deficient number, since it is larger than the sum of its proper divisors (6094396755).

12103330221 is a wasteful number, since it uses less digits than its factorization.

12103330221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12103330221 its reverse (12203330121), we get a palindrome (24306660342).

The spelling of 12103330221 in words is "twelve billion, one hundred three million, three hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 113 263 333 339 789 1017 1223 2367 3669 4181 9731 11007 12543 29193 29719 37629 45251 87579 89157 135753 138199 267471 321649 407259 414597 964947 1099603 1243791 2894841 3298809 5113363 9896427 11901013 15340089 35703039 36346337 46020267 107109117 109039011 327117033 1344814469 4034443407 12103330221