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12330033300333 = 32711313127131941
BaseRepresentation
bin1011001101101100111101…
…0000010100001101101101
31121122201222012221212101100
42303123033100110031231
53104003402011102313
642120201125033313
72411546501536260
oct263331720241555
947581865855340
1012330033300333
113a2415739a171
121471787255839
136b5942772808
14308ac3756cd7
15165aec0d5173
hexb36cf41436d

12330033300333 has 48 divisors (see below), whose sum is σ = 20536187533056. Its totient is φ = 6982796782080.

The previous prime is 12330033300329. The next prime is 12330033300353. The reversal of 12330033300333 is 33300333003321.

12330033300333 is a `hidden beast` number, since 1 + 23 + 3 + 0 + 0 + 3 + 3 + 300 + 333 = 666.

It is not a de Polignac number, because 12330033300333 - 22 = 12330033300329 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12330033300297 and 12330033300306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330033300353) 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 47 ways as a sum of consecutive naturals, for example, 93385143 + ... + 93517083.

It is an arithmetic number, because the mean of its divisors is an integer number (427837240272).

Almost surely, 212330033300333 is an apocalyptic number.

It is an amenable number.

12330033300333 is a deficient number, since it is larger than the sum of its proper divisors (8206154232723).

12330033300333 is a wasteful number, since it uses less digits than its factorization.

12330033300333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145194 (or 145191 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 12330033300333 its reverse (33300333003321), we get a palindrome (45630366303654).

The spelling of 12330033300333 in words is "twelve trillion, three hundred thirty billion, thirty-three million, three hundred thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 63 113 339 791 1017 2373 7119 13127 39381 91889 118143 131941 275667 395823 827001 923587 1187469 1483351 2770761 4450053 8312283 10383457 13350159 14909333 31150371 44727999 93451113 104365331 134183997 313095993 939287979 1731989507 5195968521 12123926549 15587905563 36371779647 109115338941 195714814291 587144442873 1370003700037 1761433328619 4110011100111 12330033300333