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12005433333 = 333114343409
BaseRepresentation
bin10110010111001010…
…00101111111110101
31010222200100012111000
423023211011333311
5144041342331313
65303142033513
7603335333235
oct131345057765
933880305430
1012005433333
115100832833
1223b0718899
13119431790a
1481c633cc5
154a3e95673
hex2cb945ff5

12005433333 has 16 divisors (see below), whose sum is σ = 18359564800. Its totient is φ = 7745440320.

The previous prime is 12005433259. The next prime is 12005433353. The reversal of 12005433333 is 33333450021.

It is a happy number.

It is not a de Polignac number, because 12005433333 - 220 = 12004384757 is a prime.

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 = 12005433297 and 12005433306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005433353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7170868 + ... + 7172541.

It is an arithmetic number, because the mean of its divisors is an integer number (1147472800).

Almost surely, 212005433333 is an apocalyptic number.

It is an amenable number.

12005433333 is a deficient number, since it is larger than the sum of its proper divisors (6354131467).

12005433333 is a wasteful number, since it uses less digits than its factorization.

12005433333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14343449 (or 14343443 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 12005433333 its reverse (33333450021), we get a palindrome (45338883354).

The spelling of 12005433333 in words is "twelve billion, five million, four hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 31 93 279 837 14343409 43030227 129090681 387272043 444645679 1333937037 4001811111 12005433333