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13033200213 = 3311292835347
BaseRepresentation
bin11000010001101011…
…01101101001010101
31020122022021011121000
430020311231221111
5203142444401323
65553134413513
7640655242155
oct141065555125
936568234530
1013033200213
1155889a1250
122638961299
1312c92274b7
148b8d2c765
1551430de43
hex308d6da55

13033200213 has 64 divisors (see below), whose sum is σ = 21871180800. Its totient is φ = 7598162880.

The previous prime is 13033200199. The next prime is 13033200223. The reversal of 13033200213 is 31200233031.

13033200213 is a `hidden beast` number, since 130 + 3 + 320 + 0 + 213 = 666.

13033200213 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 13033200213 - 25 = 13033200181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033200223) 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 63 ways as a sum of consecutive naturals, for example, 2434806 + ... + 2440152.

It is an arithmetic number, because the mean of its divisors is an integer number (341737200).

Almost surely, 213033200213 is an apocalyptic number.

It is an amenable number.

13033200213 is a deficient number, since it is larger than the sum of its proper divisors (8837980587).

13033200213 is a wasteful number, since it uses less digits than its factorization.

13033200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13033200213 its reverse (31200233031), we get a palindrome (44233433244).

The spelling of 13033200213 in words is "thirteen billion, thirty-three million, two hundred thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 29 33 87 99 261 283 297 319 783 849 957 2547 2871 3113 5347 7641 8207 8613 9339 16041 24621 28017 48123 58817 73863 84051 90277 144369 155063 176451 221589 270831 465189 529353 812493 1395567 1513201 1588059 1705693 2437479 4186701 4539603 5117079 13618809 15351237 16645211 40856427 43882829 46053711 49935633 131648487 149806899 394945461 449420697 482711119 1184836383 1448133357 4344400071 13033200213