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12004213311 = 332729162917
BaseRepresentation
bin10110010111000000…
…11100001000111111
31010222121001012221000
423023200130020333
5144041034311221
65303055541343
7603322062306
oct131340341077
933877035830
1012004213311
11510007a152
1223b022a853
131193cab4cc
1481c3d743d
154a3d03e26
hex2cb81c23f

12004213311 has 16 divisors (see below), whose sum is σ = 17790645600. Its totient is φ = 7999827264.

The previous prime is 12004213283. The next prime is 12004213343. The reversal of 12004213311 is 11331240021.

12004213311 is a `hidden beast` number, since 1 + 200 + 421 + 33 + 11 = 666.

12004213311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12004213311 - 215 = 12004180543 is a prime.

It is a super-2 number, since 2×120042133112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004213211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7776 + ... + 155141.

It is an arithmetic number, because the mean of its divisors is an integer number (1111915350).

Almost surely, 212004213311 is an apocalyptic number.

12004213311 is a deficient number, since it is larger than the sum of its proper divisors (5786432289).

12004213311 is a wasteful number, since it uses less digits than its factorization.

12004213311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165655 (or 165649 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12004213311 its reverse (11331240021), we get a palindrome (23335453332).

The spelling of 12004213311 in words is "twelve billion, four million, two hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 9 27 2729 8187 24561 73683 162917 488751 1466253 4398759 444600493 1333801479 4001404437 12004213311