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13141425215205 = 3357193719781323
BaseRepresentation
bin1011111100111011100111…
…1110110101011011100101
31201112022022111222211202000
42333032321332311123211
53210302114323341310
643541030513435513
72524302524163150
oct277167176653345
951468274884660
1013141425215205
114207279a35141
121582a9086bb99
137443008b7001
14336096a4ac97
1517bc8a57e4c0
hexbf3b9fb56e5

13141425215205 has 128 divisors (see below), whose sum is σ = 28864907980800. Its totient is φ = 5537504155392.

The previous prime is 13141425215197. The next prime is 13141425215213. The reversal of 13141425215205 is 50251252414131.

13141425215205 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 425 + 21 + 5 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (13141425215197) and next prime (13141425215213).

It is not a de Polignac number, because 13141425215205 - 23 = 13141425215197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13141425215205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9226327 + ... + 10554996.

It is an arithmetic number, because the mean of its divisors is an integer number (225507093600).

Almost surely, 213141425215205 is an apocalyptic number.

13141425215205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13141425215205 is an abundant number, since it is smaller than the sum of its proper divisors (15723482765595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13141425215205 is a wasteful number, since it uses less digits than its factorization.

13141425215205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19781400 (or 19781394 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 13141425215205 its reverse (50251252414131), we get a palindrome (63392677629336).

The spelling of 13141425215205 in words is "thirteen trillion, one hundred forty-one billion, four hundred twenty-five million, two hundred fifteen thousand, two hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 37 45 57 63 95 105 111 133 135 171 185 189 259 285 315 333 399 513 555 665 703 777 855 945 999 1197 1295 1665 1995 2109 2331 2565 3515 3591 3885 4921 4995 5985 6327 6993 10545 11655 14763 17955 18981 24605 31635 34965 44289 73815 94905 132867 221445 664335 19781323 59343969 98906615 138469261 178031907 296719845 375845137 415407783 534095721 692346305 731908951 890159535 1127535411 1246223349 1879225685 2077038915 2195726853 2630915959 2670478605 3382606233 3659544755 3738670047 5123362657 5637677055 6231116745 6587180559 7892747877 10147818699 10978634265 13154579795 13906270069 15370087971 16913031165 18693350235 19761541677 23678243631 25616813285 32935902795 39463739385 41718810207 46110263913 50739093495 69531350345 71034730893 76850439855 97343890483 98807708385 118391218155 125156430621 138330791739 208594051035 230551319565 292031671449 355173654465 375469291863 486719452415 625782153105 691653958695 876095014347 1460158357245 1877346459315 2628285043041 4380475071735 13141425215205