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12330312003333 = 321370034667037
BaseRepresentation
bin1011001101101101111111…
…0111011110111100000101
31121122202200122101110000200
42303123133313132330011
53104004434333101313
642120244522401113
72411556424505412
oct263333767367405
947582618343020
1012330312003333
113a2428a747925
121471844660199
136b5988424a2c
14308b0c785109
15165b167d8b73
hexb36dfddef05

12330312003333 has 6 divisors (see below), whose sum is σ = 17810450671494. Its totient is φ = 8220208002216.

The previous prime is 12330312003323. The next prime is 12330312003343. The reversal of 12330312003333 is 33330021303321.

12330312003333 is a `hidden beast` number, since 1 + 2 + 3 + 303 + 1 + 20 + 0 + 3 + 333 = 666.

It is an interprime number because it is at equal distance from previous prime (12330312003323) and next prime (12330312003343).

It can be written as a sum of positive squares in only one way, i.e., 6942792866724 + 5387519136609 = 2634918^2 + 2321103^2 .

It is not a de Polignac number, because 12330312003333 - 236 = 12261592526597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12330312003297 and 12330312003306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330312003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 685017333510 + ... + 685017333527.

It is an arithmetic number, because the mean of its divisors is an integer number (2968408445249).

Almost surely, 212330312003333 is an apocalyptic number.

It is an amenable number.

12330312003333 is a deficient number, since it is larger than the sum of its proper divisors (5480138668161).

12330312003333 is a wasteful number, since it uses less digits than its factorization.

12330312003333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370034667043 (or 1370034667040 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 12330312003333 its reverse (33330021303321), we get a palindrome (45660333306654).

The spelling of 12330312003333 in words is "twelve trillion, three hundred thirty billion, three hundred twelve million, three thousand, three hundred thirty-three".

Divisors: 1 3 9 1370034667037 4110104001111 12330312003333