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212102002021110 = 235173181419538871
BaseRepresentation
bin110000001110011111011000…
…011111001001001011110110
31000210222202100012111201021120
4300032133120133021023312
5210300034400004133420
62031034151540524410
762450602223236005
oct6016373037111366
91023882305451246
10212102002021110
1161644a54720353
121b9569573b0706
139147196192476
143a53b124c6c3c
15197c3d6d5ad40
hexc0e7d87c92f6

212102002021110 has 128 divisors (see below), whose sum is σ = 516045554519040. Its totient is φ = 55789340428800.

The previous prime is 212102002021103. The next prime is 212102002021121. The reversal of 212102002021110 is 11120200201212.

It is a super-3 number, since 3×2121020020211103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212102002021110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393334975 + ... + 393873845.

It is an arithmetic number, because the mean of its divisors is an integer number (4031605894680).

Almost surely, 2212102002021110 is an apocalyptic number.

212102002021110 is an abundant number, since it is smaller than the sum of its proper divisors (303943552497930).

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

212102002021110 is a wasteful number, since it uses less digits than its factorization.

212102002021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539654.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212102002021110 its reverse (11120200201212), we get a palindrome (223222202222322).

The spelling of 212102002021110 in words is "two hundred twelve trillion, one hundred two billion, two million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 173 181 346 362 419 519 543 838 865 905 1038 1086 1257 1730 1810 2095 2514 2595 2715 4190 5190 5430 6285 12570 31313 62626 72487 75839 93939 144974 151678 156565 187878 217461 227517 313130 362435 379195 434922 455034 469695 538871 724870 758390 939390 1077742 1087305 1137585 1616613 2174610 2275170 2694355 3233226 5388710 8083065 13120147 16166130 26240294 39360441 65600735 78720882 93224683 97535651 131201470 186449366 195071302 196802205 225786949 279674049 292606953 393604410 451573898 466123415 487678255 559348098 585213906 677360847 932246830 975356510 1128934745 1354721694 1398370245 1463034765 2257869490 2796740490 2926069530 3386804235 6773608470 16873667623 33747335246 39061142177 40867437769 50621002869 78122284354 81734875538 84368338115 101242005738 117183426531 122602313307 168736676230 195305710885 204337188845 234366853062 245204626614 253105014345 390611421770 408674377690 506210028690 585917132655 613011566535 1171834265310 1226023133070 7070066734037 14140133468074 21210200202111 35350333670185 42420400404222 70700667340370 106051001010555 212102002021110