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2002121021100 = 2235229673434759
BaseRepresentation
bin11101001000100111101…
…101100101011010101100
321002101211020220212221010
4131020213231211122230
5230300320440133400
64131432305505220
7264435265613034
oct35104755453254
97071736825833
102002121021100
11702105137392
12284036342210
13116a50b02345
146cc9044c8c4
153712e2e8450
hex1d227b656ac

2002121021100 has 144 divisors (see below), whose sum is σ = 6081998227200. Its totient is φ = 507794622720.

The previous prime is 2002121021057. The next prime is 2002121021111. The reversal of 2002121021100 is 11201212002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1134480 + ... + 2300279.

It is an arithmetic number, because the mean of its divisors is an integer number (42236098800).

Almost surely, 22002121021100 is an apocalyptic number.

2002121021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121021100 is an abundant number, since it is smaller than the sum of its proper divisors (4079877206100).

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

2002121021100 is a wasteful number, since it uses less digits than its factorization.

2002121021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434872 (or 3434865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002121021100 its reverse (11201212002), we get a palindrome (2013322233102).

The spelling of 2002121021100 in words is "two trillion, two billion, one hundred twenty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 67 75 87 100 116 134 145 150 174 201 268 290 300 335 348 402 435 580 670 725 804 870 1005 1340 1450 1675 1740 1943 2010 2175 2900 3350 3886 4020 4350 5025 5829 6700 7772 8700 9715 10050 11658 19430 20100 23316 29145 38860 48575 58290 97150 116580 145725 194300 291450 582900 3434759 6869518 10304277 13739036 17173795 20608554 34347590 41217108 51521385 68695180 85868975 99608011 103042770 171737950 199216022 206085540 230128853 257606925 298824033 343475900 398432044 460257706 498040055 515213850 597648066 690386559 920515412 996080110 1030427700 1150644265 1195296132 1380773118 1494120165 1992160220 2301288530 2490200275 2761546236 2988240330 3451932795 4602577060 4980400550 5753221325 5976480660 6673736737 6903865590 7470600825 9960801100 11506442650 13347473474 13807731180 14941201650 17259663975 20021210211 23012885300 26694946948 29882403300 33368683685 34519327950 40042420422 66737367370 69038655900 80084840844 100106051055 133474734740 166843418425 200212102110 333686836850 400424204220 500530255275 667373673700 1001060510550 2002121021100