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13200133311 = 324135772719
BaseRepresentation
bin11000100101100101…
…00000110010111111
31021001221101020202100
430102302200302333
5204013213231221
610021500400143
7645053165451
oct142262406277
937057336670
1013200133311
115664149592
122684846053
1313249a4891
148d31842d1
15523cd5926
hex312ca0cbf

13200133311 has 12 divisors (see below), whose sum is σ = 19531905120. Its totient is φ = 8585452320.

The previous prime is 13200133291. The next prime is 13200133337. The reversal of 13200133311 is 11333100231.

It is a happy number.

13200133311 is a `hidden beast` number, since 1 + 320 + 0 + 1 + 33 + 311 = 666.

13200133311 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 13200133311 - 25 = 13200133279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200133381) 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 11 ways as a sum of consecutive naturals, for example, 17885991 + ... + 17886728.

It is an arithmetic number, because the mean of its divisors is an integer number (1627658760).

Almost surely, 213200133311 is an apocalyptic number.

13200133311 is a deficient number, since it is larger than the sum of its proper divisors (6331771809).

13200133311 is a wasteful number, since it uses less digits than its factorization.

13200133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35772766 (or 35772763 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13200133311 its reverse (11333100231), we get a palindrome (24533233542).

The spelling of 13200133311 in words is "thirteen billion, two hundred million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 9 41 123 369 35772719 107318157 321954471 1466681479 4400044437 13200133311