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13133120211 = 3217370923143
BaseRepresentation
bin11000011101100101…
…11000001011010011
31020220021021122001200
430032302320023103
5203344034321321
610011104202243
7643310452131
oct141662701323
936807248050
1013133120211
11562a338662
122666309383
131313b40763
148c82dc751
1551ce99d26
hex30ecb82d3

13133120211 has 24 divisors (see below), whose sum is σ = 20092232160. Its totient is φ = 8237811456.

The previous prime is 13133120201. The next prime is 13133120227. The reversal of 13133120211 is 11202133131.

13133120211 is a `hidden beast` number, since 131 + 331 + 202 + 1 + 1 = 666.

13133120211 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 13133120211 - 217 = 13132989139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13133120201) 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 23 ways as a sum of consecutive naturals, for example, 555906 + ... + 579048.

It is an arithmetic number, because the mean of its divisors is an integer number (837176340).

Almost surely, 213133120211 is an apocalyptic number.

13133120211 is a deficient number, since it is larger than the sum of its proper divisors (6959111949).

13133120211 is a wasteful number, since it uses less digits than its factorization.

13133120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875 (or 26872 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13133120211 its reverse (11202133131), we get a palindrome (24335253342).

The spelling of 13133120211 in words is "thirteen billion, one hundred thirty-three million, one hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 17 51 153 3709 11127 23143 33381 63053 69429 189159 208287 393431 567477 1180293 3540879 85837387 257512161 772536483 1459235579 4377706737 13133120211