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22102441130133 = 32713251160167157
BaseRepresentation
bin1010000011010001000000…
…01001101111100010010101
32220020222021010100221212200
411001220200021233202111
510344111244412131013
6115001415444035113
74440564044534640
oct501504011574225
986228233327780
1022102441130133
117051657899141
12258b726992a99
13c44336014530
14565a9a056a57
15284e0654ae73
hex141a2026f895

22102441130133 has 96 divisors (see below), whose sum is σ = 39475003905792. Its totient is φ = 11604556800000.

The previous prime is 22102441130089. The next prime is 22102441130137. The reversal of 22102441130133 is 33103114420122.

22102441130133 is a `hidden beast` number, since 2 + 210 + 2 + 4 + 411 + 3 + 0 + 1 + 33 = 666.

It is not a de Polignac number, because 22102441130133 - 222 = 22102436935829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22102441130097 and 22102441130106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102441130137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329082391 + ... + 329149547.

It is an arithmetic number, because the mean of its divisors is an integer number (411197957352).

Almost surely, 222102441130133 is an apocalyptic number.

It is an amenable number.

22102441130133 is a deficient number, since it is larger than the sum of its proper divisors (17372562775659).

22102441130133 is a wasteful number, since it uses less digits than its factorization.

22102441130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69035 (or 69032 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22102441130133 its reverse (33103114420122), we get a palindrome (55205555550255).

The spelling of 22102441130133 in words is "twenty-two trillion, one hundred two billion, four hundred forty-one million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 251 273 753 819 1601 1757 2259 3263 4803 5271 9789 11207 14409 15813 20813 22841 29367 33621 62439 67157 68523 100863 145691 187317 201471 205569 401851 437073 470099 604413 873041 1205553 1311219 1410297 2619123 2812957 3616659 4230891 5224063 6111287 7857369 8438871 15672189 16856407 18333861 25316613 36568441 47016567 50569221 55001583 107518357 109705323 117994849 151707663 219133291 322555071 329115969 353984547 657399873 752628499 967665213 1061953641 1397738641 1533933037 1972199619 2257885497 4193215923 4601799111 6773656491 9784170487 12579647769 13805397333 26987107607 29352511461 80961322821 88057534383 188909753249 242883968463 350832398891 566729259747 1052497196673 1700187779241 2455826792237 3157491590019 7367480376711 22102441130133