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2122010221100 = 2252711535199731
BaseRepresentation
bin11110111000010001101…
…010100101101000101100
321111212021112121021101212
4132320101222211220230
5234231334104033400
64302501003253552
7306211251162260
oct36702152455054
97455245537355
102122010221100
11748a374a3860
122a3314b1a2b8
13125149064183
14749c4b920a0
153a2e96b4335
hex1ee11aa5a2c

2122010221100 has 144 divisors (see below), whose sum is σ = 5849324119296. Its totient is φ = 648926304000.

The previous prime is 2122010221091. The next prime is 2122010221117. The reversal of 2122010221100 is 11220102212.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2191766 + ... + 3007965.

It is an arithmetic number, because the mean of its divisors is an integer number (40620306384).

Almost surely, 22122010221100 is an apocalyptic number.

2122010221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122010221100 is an abundant number, since it is smaller than the sum of its proper divisors (3727313898196).

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

2122010221100 is a wasteful number, since it uses less digits than its factorization.

2122010221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199816 (or 5199809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122010221100 its reverse (11220102212), we get a palindrome (2133230323312).

The spelling of 2122010221100 in words is "two trillion, one hundred twenty-two billion, ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 140 154 175 212 220 265 275 308 350 371 385 530 550 583 700 742 770 1060 1100 1166 1325 1484 1540 1855 1925 2332 2650 2915 3710 3850 4081 5300 5830 7420 7700 8162 9275 11660 14575 16324 18550 20405 29150 37100 40810 58300 81620 102025 204050 408100 5199731 10399462 20798924 25998655 36398117 51997310 57197041 72796234 103994620 114394082 129993275 145592468 181990585 228788164 259986550 275585743 285985205 363981170 400379287 519973100 551171486 571970410 727962340 800758574 909952925 1102342972 1143940820 1377928715 1429926025 1601517148 1819905850 1929100201 2001896435 2755857430 2859852050 3031443173 3639811700 3858200402 4003792870 5511714860 5719704100 6062886346 6889643575 7716400804 8007585740 9645501005 10009482175 12125772692 13779287150 15157215865 19291002010 20018964350 21220102211 27558574300 30314431730 38582004020 40037928700 42440204422 48227505025 60628863460 75786079325 84880408844 96455010050 106100511055 151572158650 192910020100 212201022110 303144317300 424402044220 530502555275 1061005110550 2122010221100