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13110441130521 = 337596018232377
BaseRepresentation
bin1011111011001000001100…
…1011111011101000011001
31201102100100011222020222000
42332302003023323220121
53204300140412134041
643514504205151213
72522124644620560
oct276620313735031
951370304866860
1013110441130521
1141a511a258789
121578a8425b509
13741403697ba7
14334797a38bd7
1517b075369bb6
hexbec832fba19

13110441130521 has 128 divisors (see below), whose sum is σ = 22648361164800. Its totient is φ = 7340425804800.

The previous prime is 13110441130519. The next prime is 13110441130529. The reversal of 13110441130521 is 12503114401131.

13110441130521 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 4 + 4 + 1 + 130 + 521 = 666.

It is not a de Polignac number, because 13110441130521 - 21 = 13110441130519 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 not an unprimeable number, because it can be changed into a prime (13110441130529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5515539885 + ... + 5515542261.

It is an arithmetic number, because the mean of its divisors is an integer number (176940321600).

Almost surely, 213110441130521 is an apocalyptic number.

It is an amenable number.

13110441130521 is a deficient number, since it is larger than the sum of its proper divisors (9537920034279).

13110441130521 is a wasteful number, since it uses less digits than its factorization.

13110441130521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13110441130521 its reverse (12503114401131), we get a palindrome (25613555531652).

The spelling of 13110441130521 in words is "thirteen trillion, one hundred ten billion, four hundred forty-one million, one hundred thirty thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 601 823 1239 1593 1803 2377 2469 3717 4207 5409 5761 7131 7407 11151 12621 16227 16639 17283 21393 22221 35459 37863 48557 49917 51849 64179 106377 113589 140243 145671 149751 155547 248213 319131 339899 420729 437013 449253 494623 744639 957393 981701 1019697 1262187 1311039 1428577 1483869 1956271 2233917 2945103 3059091 3462361 3786561 4285731 4451607 5868813 6701751 8835309 9177273 10000039 10387083 12857193 13354821 13693897 17606439 26505927 29182757 30000117 31161249 38571579 41081691 52819317 84286043 87548271 90000351 93483747 115419989 123245073 204279299 252858129 262644813 270001053 346259967 369735219 590002301 612837897 758574387 787934439 807939923 1038779901 1175718871 1770006903 1838513691 2275723161 2423819769 3116339703 3527156613 5310020709 5515541073 7271459307 8230032097 10581469839 15930062127 21814377921 24690096291 31744409517 69367413389 74070288873 208102240167 222210866619 485571893723 624306720501 1456715681169 1872920161503 4370147043507 13110441130521