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20042014232100 = 22352714407662443
BaseRepresentation
bin1001000111010011001010…
…01000111000111000100100
32121221222221102122122011010
410203221211020320320210
510111332021120411400
6110343101344542220
74135662540061320
oct443514510707044
977858842578133
1020042014232100
1164278525a3503
1222b833a021970
13b24c527545c3
144d407814a980
1524b5135e2450
hex123a65238e24

20042014232100 has 144 divisors (see below), whose sum is σ = 66276960447488. Its totient is φ = 4580706936960.

The previous prime is 20042014232063. The next prime is 20042014232113. The reversal of 20042014232100 is 123241024002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29923479 + ... + 30585921.

Almost surely, 220042014232100 is an apocalyptic number.

20042014232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042014232100 is an abundant number, since it is smaller than the sum of its proper divisors (46234946215388).

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

20042014232100 is a wasteful number, since it uses less digits than its factorization.

20042014232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676874 (or 676867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20042014232100 its reverse (123241024002), we get a palindrome (20165255256102).

The spelling of 20042014232100 in words is "twenty trillion, forty-two billion, fourteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 14407 28814 43221 57628 72035 86442 100849 144070 172884 201698 216105 288140 302547 360175 403396 432210 504245 605094 662443 720350 864420 1008490 1080525 1210188 1324886 1440700 1512735 1987329 2016980 2161050 2521225 2649772 3025470 3312215 3974658 4322100 4637101 5042450 6050940 6624430 7563675 7949316 9274202 9936645 10084900 13248860 13911303 15127350 16561075 18548404 19873290 23185505 27822606 30254700 33122150 39746580 46371010 49683225 55645212 66244300 69556515 92742020 99366450 115927525 139113030 198732900 231855050 278226060 347782575 463710100 695565150 1391130300 9543816301 19087632602 28631448903 38175265204 47719081505 57262897806 66806714107 95438163010 114525795612 133613428214 143157244515 190876326020 200420142321 238595407525 267226856428 286314489030 334033570535 400840284642 477190815050 572628978060 668067141070 715786222575 801680569284 954381630100 1002100711605 1336134282140 1431572445150 1670167852675 2004201423210 2863144890300 3340335705350 4008402846420 5010503558025 6680671410700 10021007116050 20042014232100