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12304004301 = 3328312591279
BaseRepresentation
bin10110111010110000…
…00011010011001101
31011202111011011212000
423131120003103031
5200144311114201
65352525302513
7613622211441
oct133530032315
934674134760
1012304004301
1152443205a6
122474704a39
131211135124
1484a154821
154c02c0d86
hex2dd6034cd

12304004301 has 32 divisors (see below), whose sum is σ = 18321408000. Its totient is φ = 8160807024.

The previous prime is 12304004299. The next prime is 12304004357. The reversal of 12304004301 is 10340040321.

12304004301 is a `hidden beast` number, since 1 + 230 + 4 + 0 + 0 + 430 + 1 = 666.

12304004301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12304004301 - 21 = 12304004299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304004701) 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 31 ways as a sum of consecutive naturals, for example, 9619380 + ... + 9620658.

It is an arithmetic number, because the mean of its divisors is an integer number (572544000).

Almost surely, 212304004301 is an apocalyptic number.

It is an amenable number.

12304004301 is a deficient number, since it is larger than the sum of its proper divisors (6017403699).

12304004301 is a wasteful number, since it uses less digits than its factorization.

12304004301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

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

Adding to 12304004301 its reverse (10340040321), we get a palindrome (22644044622).

The spelling of 12304004301 in words is "twelve billion, three hundred four million, four thousand, three hundred one".

Divisors: 1 3 9 27 283 849 1259 1279 2547 3777 3837 7641 11331 11511 33993 34533 356297 361957 1068891 1085871 1610261 3206673 3257613 4830783 9620019 9772839 14492349 43477047 455703863 1367111589 4101334767 12304004301