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12330223202331 = 3210313301211653
BaseRepresentation
bin1011001101101101101010…
…0100101111000000011011
31121122202110110021212221200
42303123122210233000123
53104004244114433311
642120232031205243
72411554265635356
oct263333244570033
947582413255850
1012330223202331
113a24244605371
12147181a976823
136b5972c02768
14308b00a6b29d
15165b0dae7556
hexb36da92f01b

12330223202331 has 12 divisors (see below), whose sum is σ = 17983238156208. Its totient is φ = 8140341531024.

The previous prime is 12330223202321. The next prime is 12330223202359. The reversal of 12330223202331 is 13320232203321.

12330223202331 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 2 + 2 + 320 + 2 + 331 = 666.

It is not a de Polignac number, because 12330223202331 - 235 = 12295863463963 is a prime.

It is a super-3 number, since 3×123302232023313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12330223202295 and 12330223202304.

It is not an unprimeable number, because it can be changed into a prime (12330223202321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6650604900 + ... + 6650606753.

It is an arithmetic number, because the mean of its divisors is an integer number (1498603179684).

Almost surely, 212330223202331 is an apocalyptic number.

12330223202331 is a deficient number, since it is larger than the sum of its proper divisors (5653014953877).

12330223202331 is a wasteful number, since it uses less digits than its factorization.

12330223202331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13301211762 (or 13301211759 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12330223202331 its reverse (13320232203321), we get a palindrome (25650455405652).

The spelling of 12330223202331 in words is "twelve trillion, three hundred thirty billion, two hundred twenty-three million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 103 309 927 13301211653 39903634959 119710904877 1370024800259 4110074400777 12330223202331