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13355205152223 = 31113133754716759
BaseRepresentation
bin1100001001011000000001…
…0000100100110111011111
31202021202010012122212011010
43002112000100210313133
53222302430004332343
644223144015430303
72545611301520514
oct302260020446737
952252105585133
1013355205152223
114289a02158a40
1215b83b3225393
1375b50ca54a6c
14342576cbd30b
151825ed667d33
hexc2580424ddf

13355205152223 has 64 divisors (see below), whose sum is σ = 19669188464640. Its totient is φ = 7993324684800.

The previous prime is 13355205152167. The next prime is 13355205152227. The reversal of 13355205152223 is 32225150255331.

It is not a de Polignac number, because 13355205152223 - 221 = 13355203055071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355205152227) 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 63 ways as a sum of consecutive naturals, for example, 796889118 + ... + 796905876.

It is an arithmetic number, because the mean of its divisors is an integer number (307331069760).

Almost surely, 213355205152223 is an apocalyptic number.

13355205152223 is a deficient number, since it is larger than the sum of its proper divisors (6313983312417).

13355205152223 is a wasteful number, since it uses less digits than its factorization.

13355205152223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17788.

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 13355205152223 in words is "thirteen trillion, three hundred fifty-five billion, two hundred five million, one hundred fifty-two thousand, two hundred twenty-three".

Divisors: 1 3 11 33 131 337 393 547 1011 1441 1641 3707 4323 6017 11121 16759 18051 44147 50277 71657 132441 184339 184349 214971 485617 553017 553047 788227 1456851 2027729 2195429 2364681 5647783 6083187 6586287 9167173 16943349 24148409 24149719 27501519 62125613 72445227 72449157 100838903 186376839 265632499 302516709 739859573 796897497 1200899663 2219578719 3089337301 3602698989 8138455303 9268011903 13209896293 24415365909 33982710311 39629688879 101948130933 404703186431 1214109559293 4451735050741 13355205152223