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12300321321 = 321780394257
BaseRepresentation
bin10110111010010100…
…00000001000101001
31011202020020001202100
423131022000020221
5200142340240241
65352314324013
7613546002051
oct133512001051
934666201670
1012300321321
115242235512
122473429609
131210445952
14849876561
154bece49b6
hex2dd280229

12300321321 has 12 divisors (see below), whose sum is σ = 18812256372. Its totient is φ = 7717848576.

The previous prime is 12300321311. The next prime is 12300321331. The reversal of 12300321321 is 12312300321.

12300321321 is a `hidden beast` number, since 1 + 23 + 0 + 0 + 321 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (12300321311) and next prime (12300321331).

It can be written as a sum of positive squares in 2 ways, for example, as 10224243225 + 2076078096 = 101115^2 + 45564^2 .

It is not a de Polignac number, because 12300321321 - 214 = 12300304937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12300321294 and 12300321303.

It is not an unprimeable number, because it can be changed into a prime (12300321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40196976 + ... + 40197281.

It is an arithmetic number, because the mean of its divisors is an integer number (1567688031).

Almost surely, 212300321321 is an apocalyptic number.

It is an amenable number.

12300321321 is a deficient number, since it is larger than the sum of its proper divisors (6511935051).

12300321321 is a wasteful number, since it uses less digits than its factorization.

12300321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80394280 (or 80394277 counting only the distinct ones).

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

Adding to 12300321321 its reverse (12312300321), we get a palindrome (24612621642).

The spelling of 12300321321 in words is "twelve billion, three hundred million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 80394257 241182771 723548313 1366702369 4100107107 12300321321