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12330312003331 = 719757312242059
BaseRepresentation
bin1011001101101101111111…
…0111011110111100000011
31121122202200122101110000121
42303123133313132330003
53104004434333101311
642120244522401111
72411556424505410
oct263333767367403
947582618343017
1012330312003331
113a2428a747923
121471844660197
136b5988424a2a
14308b0c785107
15165b167d8b71
hexb36dfddef03

12330312003331 has 16 divisors (see below), whose sum is σ = 14835417990400. Its totient is φ = 10011261223008.

The previous prime is 12330312003323. The next prime is 12330312003343. The reversal of 12330312003331 is 13330021303321.

It is a cyclic number.

It is not a de Polignac number, because 12330312003331 - 23 = 12330312003323 is a prime.

It is a super-2 number, since 2×123303120033312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12330312003296 and 12330312003305.

It is not an unprimeable number, because it can be changed into a prime (12330312003391) 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 15 ways as a sum of consecutive naturals, for example, 5113821 + ... + 7128238.

It is an arithmetic number, because the mean of its divisors is an integer number (927213624400).

Almost surely, 212330312003331 is an apocalyptic number.

12330312003331 is a deficient number, since it is larger than the sum of its proper divisors (2505105987069).

12330312003331 is a wasteful number, since it uses less digits than its factorization.

12330312003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249658.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 12330312003331 its reverse (13330021303321), we get a palindrome (25660333306652).

The spelling of 12330312003331 in words is "twelve trillion, three hundred thirty billion, three hundred twelve million, three thousand, three hundred thirty-one".

Divisors: 1 7 19 133 7573 53011 143887 1007209 12242059 85694413 232599121 1628193847 92709112807 648963789649 1761473143333 12330312003331