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12330321032331 = 331513024361303
BaseRepresentation
bin1011001101101110000001…
…1001111011010010001011
31121122202201021101011111000
42303123200121323102023
53104004444141013311
642120245444110043
72411556564322131
oct263334031732213
947582637334430
1012330321032331
113a24294854505
121471847695323
136b598a266633
14308b0da55751
15165b174be056
hexb36e067b48b

12330321032331 has 16 divisors (see below), whose sum is σ = 18388116728320. Its totient is φ = 8165775515400.

The previous prime is 12330321032261. The next prime is 12330321032347. The reversal of 12330321032331 is 13323012303321.

12330321032331 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 321 + 0 + 3 + 2 + 331 = 666.

It is not a de Polignac number, because 12330321032331 - 27 = 12330321032203 is a prime.

It is a super-2 number, since 2×123303210323312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12330321032295 and 12330321032304.

It is not an unprimeable number, because it can be changed into a prime (12330321032371) 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 15 ways as a sum of consecutive naturals, for example, 1512176575 + ... + 1512184728.

It is an arithmetic number, because the mean of its divisors is an integer number (1149257295520).

Almost surely, 212330321032331 is an apocalyptic number.

12330321032331 is a deficient number, since it is larger than the sum of its proper divisors (6057795695989).

12330321032331 is a wasteful number, since it uses less digits than its factorization.

12330321032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024361463 (or 3024361457 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12330321032331 its reverse (13323012303321), we get a palindrome (25653333335652).

The spelling of 12330321032331 in words is "twelve trillion, three hundred thirty billion, three hundred twenty-one million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 151 453 1359 4077 3024361303 9073083909 27219251727 81657755181 456678556753 1370035670259 4110107010777 12330321032331