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300112102202121 = 33111765998391757
BaseRepresentation
bin100010000111100110100101…
…1001111101001101100001001
31110100121102210102000111102000
41010033031023033221230021
5303314014041130431441
62542141332455301213
7120133245443455506
oct10417151317515411
91410542712014360
10300112102202121
1187696911872160
12297ab89b97a809
13cb5c5b02b0cb1
145417708cba4ad
1524a69102a62b6
hex110f34b3e9b09

300112102202121 has 128 divisors (see below), whose sum is σ = 514868966092800. Its totient is φ = 170751427015680.

The previous prime is 300112102202119. The next prime is 300112102202137. The reversal of 300112102202121 is 121202201211003.

300112102202121 is a `hidden beast` number, since 300 + 1 + 1 + 21 + 0 + 220 + 2 + 121 = 666.

It is not a de Polignac number, because 300112102202121 - 21 = 300112102202119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300112102202094 and 300112102202103.

It is not an unprimeable number, because it can be changed into a prime (300112102202141) 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, 3270681175 + ... + 3270772931.

It is an arithmetic number, because the mean of its divisors is an integer number (4022413797600).

Almost surely, 2300112102202121 is an apocalyptic number.

It is an amenable number.

300112102202121 is a deficient number, since it is larger than the sum of its proper divisors (214756863890679).

300112102202121 is a wasteful number, since it uses less digits than its factorization.

300112102202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93436 (or 93430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 300112102202121 its reverse (121202201211003), we get a palindrome (421314303413124).

The spelling of 300112102202121 in words is "three hundred trillion, one hundred twelve billion, one hundred two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 659 983 1683 1977 2949 5049 5931 7249 8847 10813 11203 16711 17793 21747 26541 32439 33609 50133 65241 91757 97317 100827 123233 150399 183821 195723 275271 291951 302481 369699 451197 551463 647797 825813 1009327 1109097 1559869 1654389 1943391 2477439 3027981 3327291 4679607 4963167 5830173 7125767 9083943 11012549 14038821 17158559 17490519 21377301 27251829 33037647 42116463 51475677 60467863 64131903 90197131 99112941 121138039 154427031 181403589 192395709 270591393 297338823 363414117 463281093 544210767 665146493 811774179 992168441 1027953671 1090242351 1533351227 1632632301 1995439479 2435322537 2976505323 3083861013 3270727053 4600053681 5986318437 8929515969 9251583039 11307490381 13800161043 16866863497 17958955311 26788547907 27754749117 33922471143 41400483129 50600590491 59439909329 101767413429 151801771473 178319727987 305302240287 455405314419 534959183961 653839002619 1010478458593 1604877551883 1961517007857 3031435375779 5884551023571 9094306127337 11115263044523 17653653070713 27282918382011 33345789133569 100037367400707 300112102202121