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12330013505211 = 3219334889144967
BaseRepresentation
bin1011001101101100111000…
…0100110011011010111011
31121122201220211201011120200
42303123032010303122323
53104003331424131321
642120155140453243
72411546141352453
oct263331604633273
947581824634520
1012330013505211
113a241471a9866
1214717806aa223
136b593b63171c
14308ac0c82d63
15165aea4c4d26
hexb36ce1336bb

12330013505211 has 24 divisors (see below), whose sum is σ = 17823000879840. Its totient is φ = 8214019422336.

The previous prime is 12330013505177. The next prime is 12330013505267. The reversal of 12330013505211 is 11250531003321.

12330013505211 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 0 + 135 + 0 + 521 + 1 = 666.

It is not a de Polignac number, because 12330013505211 - 238 = 12055135598267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12330013505011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84981450 + ... + 85126416.

It is an arithmetic number, because the mean of its divisors is an integer number (742625036660).

Almost surely, 212330013505211 is an apocalyptic number.

12330013505211 is a deficient number, since it is larger than the sum of its proper divisors (5492987374629).

12330013505211 is a wasteful number, since it uses less digits than its factorization.

12330013505211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151795 (or 151792 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 12330013505211 its reverse (11250531003321), we get a palindrome (23580544508532).

The spelling of 12330013505211 in words is "twelve trillion, three hundred thirty billion, thirteen million, five hundred five thousand, two hundred eleven".

Divisors: 1 3 9 1933 4889 5799 14667 17397 44001 144967 434901 1304703 9450437 28351311 85053933 280221211 708743663 840663633 2126230989 2521990899 6378692967 1370001500579 4110004501737 12330013505211