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13204341133335 = 3351133126863481
BaseRepresentation
bin1100000000100110000000…
…0100000001000000010111
31201202022201020101122012000
43000021200010001000113
53212314442312231320
644025553544130343
72531660611516662
oct300114004010027
951668636348160
1013204341133335
114230a253736a0
12159310b1669b3
1374a219499431
1433914489a6d9
1517d71dcb7c90
hexc0260101017

13204341133335 has 64 divisors (see below), whose sum is σ = 25685786949120. Its totient is φ = 6382762848000.

The previous prime is 13204341133307. The next prime is 13204341133337. The reversal of 13204341133335 is 53333114340231.

13204341133335 is a `hidden beast` number, since 1 + 3 + 204 + 3 + 4 + 113 + 3 + 335 = 666.

It is not a de Polignac number, because 13204341133335 - 215 = 13204341100567 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13204341133335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204341133337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12940206 + ... + 13923275.

It is an arithmetic number, because the mean of its divisors is an integer number (401340421080).

Almost surely, 213204341133335 is an apocalyptic number.

13204341133335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13204341133335 is a deficient number, since it is larger than the sum of its proper divisors (12481445815785).

13204341133335 is a wasteful number, since it uses less digits than its factorization.

13204341133335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26863837 (or 26863831 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 13204341133335 its reverse (53333114340231), we get a palindrome (66537455473566).

The spelling of 13204341133335 in words is "thirteen trillion, two hundred four billion, three hundred forty-one million, one hundred thirty-three thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 331 495 993 1485 1655 2979 3641 4965 8937 10923 14895 18205 32769 44685 54615 98307 163845 491535 26863481 80590443 134317405 241771329 295498291 402952215 725313987 886494873 1208856645 1477491455 2659484619 3626569935 4432474365 7978453857 8891812211 13297423095 26675436633 39892269285 44459061055 80026309899 97809934321 133377183165 240078929697 293429802963 400131549495 489049671605 880289408889 1200394648485 1467149014815 2640868226667 4401447044445 13204341133335