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12133032032013 = 3172937221717231
BaseRepresentation
bin1011000010001111000100…
…0100000111011100001101
31120221220110212022112102020
42300203301010013130031
53042241422200011023
641445501000120353
72361403562433234
oct260436104073415
946856425275366
1012133032032013
113958654302512
12143b567a660b9
136a01a87b27a9
142dd355a2bb1b
1516091c053de3
hexb08f110770d

12133032032013 has 32 divisors (see below), whose sum is σ = 18198550402560. Its totient is φ = 7151710970880.

The previous prime is 12133032031951. The next prime is 12133032032053. The reversal of 12133032032013 is 31023023033121.

It is not a de Polignac number, because 12133032032013 - 210 = 12133032030989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133032032053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110803893 + ... + 110913338.

It is an arithmetic number, because the mean of its divisors is an integer number (568704700080).

Almost surely, 212133032032013 is an apocalyptic number.

It is an amenable number.

12133032032013 is a deficient number, since it is larger than the sum of its proper divisors (6065518370547).

12133032032013 is a wasteful number, since it uses less digits than its factorization.

12133032032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221717317.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12133032032013 its reverse (31023023033121), we get a palindrome (43156055065134).

The spelling of 12133032032013 in words is "twelve trillion, one hundred thirty-three billion, thirty-two million, thirty-two thousand, thirteen".

Divisors: 1 3 17 29 37 51 87 111 493 629 1073 1479 1887 3219 18241 54723 221717231 665151693 3769192927 6429799699 8203537547 11307578781 19289399097 24610612641 109306594883 139460138299 237902588863 327919784649 418380414897 713707766589 4044344010671 12133032032013