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12300243021 = 321125324021
BaseRepresentation
bin10110111010010011…
…01101000001001101
31011202020002002100100
423131021231001031
5200142330234041
65352312521313
7613545224553
oct133511550115
934666062310
1012300243021
115242191700
1224733b0239
131210419111
14849855bd3
154beccb6b6
hex2dd26d04d

12300243021 has 54 divisors (see below), whose sum is σ = 19909410794. Its totient is φ = 7312219200.

The previous prime is 12300242987. The next prime is 12300243031. The reversal of 12300243021 is 12034200321.

12300243021 is a `hidden beast` number, since 1 + 230 + 0 + 2 + 430 + 2 + 1 = 666.

12300243021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1460309796 + 10839933225 = 38214^2 + 104115^2 .

It is not a de Polignac number, because 12300243021 - 210 = 12300241997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300242985 and 12300243003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300243031) 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 53 ways as a sum of consecutive naturals, for example, 3056991 + ... + 3061011.

Almost surely, 212300243021 is an apocalyptic number.

12300243021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300243021 is a deficient number, since it is larger than the sum of its proper divisors (7609167773).

12300243021 is a wasteful number, since it uses less digits than its factorization.

12300243021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12300243021 its reverse (12034200321), we get a palindrome (24334443342).

The spelling of 12300243021 in words is "twelve billion, three hundred million, two hundred forty-three thousand, twenty-one".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1749 2809 4021 5247 6413 8427 12063 19239 25281 30899 36189 44231 57717 92697 132693 213113 278091 339889 398079 486541 639339 1019667 1459623 1918017 2344243 3059001 4378869 7032729 11294989 21098187 25786673 33884967 77360019 101654901 124244879 232080057 372734637 1118203911 1366693669 4100081007 12300243021