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13505314221 = 337190137589
BaseRepresentation
bin11001001001111101…
…01011110110101101
31021212012122001021000
430210332223312231
5210124330023341
610112041430513
7655450163640
oct144476536655
937765561230
1013505314221
115800441513
12274aa9b439
131372c978b9
14921905a57
155409b98b6
hex324fabdad

13505314221 has 32 divisors (see below), whose sum is σ = 22878777600. Its totient is φ = 7713057600.

The previous prime is 13505314183. The next prime is 13505314223. The reversal of 13505314221 is 12241350531.

13505314221 is a `hidden beast` number, since 13 + 505 + 3 + 142 + 2 + 1 = 666.

It is not a de Polignac number, because 13505314221 - 211 = 13505312173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505314223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340495 + ... + 378083.

It is an arithmetic number, because the mean of its divisors is an integer number (714961800).

Almost surely, 213505314221 is an apocalyptic number.

It is an amenable number.

13505314221 is a deficient number, since it is larger than the sum of its proper divisors (9373463379).

13505314221 is a wasteful number, since it uses less digits than its factorization.

13505314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39506 (or 39500 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13505314221 its reverse (12241350531), we get a palindrome (25746664752).

The spelling of 13505314221 in words is "thirteen billion, five hundred five million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1901 5703 13307 17109 37589 39921 51327 112767 119763 263123 338301 359289 789369 1014903 2368107 7104321 71456689 214370067 500196823 643110201 1500590469 1929330603 4501771407 13505314221