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2104240013226 = 23213151109754287
BaseRepresentation
bin11110100111101110011…
…110100111111110101010
321110011102002211011220200
4132213232132213332222
5233433440420410401
64250401410133030
7305012012666121
oct36475636477652
97404362734820
102104240013226
117414486a264a
1229b995881176
1312357661c380
1473bbaaa0ab8
1539b0959c686
hex1e9ee7a7faa

2104240013226 has 96 divisors (see below), whose sum is σ = 4947005726208. Its totient is φ = 642572524800.

The previous prime is 2104240013189. The next prime is 2104240013257. The reversal of 2104240013226 is 6223100424012.

2104240013226 is a `hidden beast` number, since 2 + 1 + 0 + 424 + 0 + 0 + 13 + 226 = 666.

It is a super-2 number, since 2×21042400132262 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2104240013226.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38734255 + ... + 38788541.

It is an arithmetic number, because the mean of its divisors is an integer number (51531309648).

Almost surely, 22104240013226 is an apocalyptic number.

2104240013226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104240013226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473502863104).

2104240013226 is an abundant number, since it is smaller than the sum of its proper divisors (2842765712982).

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

2104240013226 is a wasteful number, since it uses less digits than its factorization.

2104240013226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55556 (or 55553 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2104240013226 its reverse (6223100424012), we get a palindrome (8327340437238).

The spelling of 2104240013226 in words is "two trillion, one hundred four billion, two hundred forty million, thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1097 1359 1963 2194 2718 3291 3926 5889 6582 9873 11778 14261 17667 19746 28522 35334 42783 54287 85566 108574 128349 162861 165647 256698 325722 331294 488583 496941 705731 977166 993882 1411462 1490823 2117193 2153411 2981646 4234386 4306822 6351579 6460233 8197337 12703158 12920466 16394674 19380699 24592011 38761398 49184022 59552839 73776033 106565381 119105678 147552066 178658517 213130762 319696143 357317034 535975551 639392286 774186907 959088429 1071951102 1548373814 1918176858 2322560721 4645121442 6967682163 8992478689 13935364326 17984957378 26977436067 53954872134 80932308201 116902222957 161864616402 233804445914 350706668871 701413337742 1052120006613 2104240013226