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13413535003005 = 35171071283383171
BaseRepresentation
bin1100001100110001010011…
…1111010011000101111101
31202111022200022120021212220
43003030110333103011331
53224231404430044010
644310032022515553
72553044621210514
oct303142477230575
952438608507786
1013413535003005
114301714901195
121607771895bb9
13763b77487777
1434530ba1b67b
15183db4461970
hexc3314fd317d

13413535003005 has 64 divisors (see below), whose sum is σ = 22954418316288. Its totient is φ = 6664926417920.

The previous prime is 13413535002947. The next prime is 13413535003007. The reversal of 13413535003005 is 50030053531431.

It is a happy number.

It is not a de Polignac number, because 13413535003005 - 27 = 13413535002877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413535003007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34815070 + ... + 35198240.

It is an arithmetic number, because the mean of its divisors is an integer number (358662786192).

Almost surely, 213413535003005 is an apocalyptic number.

13413535003005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13413535003005 is a deficient number, since it is larger than the sum of its proper divisors (9540883313283).

13413535003005 is a wasteful number, since it uses less digits than its factorization.

13413535003005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384586.

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 13413535003005 its reverse (50030053531431), we get a palindrome (63443588534436).

The spelling of 13413535003005 in words is "thirteen trillion, four hundred thirteen billion, five hundred thirty-five million, three thousand, five".

Divisors: 1 3 5 15 17 51 85 107 255 321 535 1283 1605 1819 3849 5457 6415 9095 19245 21811 27285 65433 109055 137281 327165 383171 411843 686405 1149513 1915855 2059215 2333777 5747565 6513907 7001331 11668885 19541721 32569535 35006655 40999297 97708605 122997891 204996485 491608393 614989455 696988049 1474825179 2090964147 2458041965 3484940245 7374125895 8357342681 10454820735 25072028043 41786713405 52602098051 125360140215 157806294153 263010490255 789031470765 894235666867 2682707000601 4471178334335 13413535003005