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212101272101212 = 2213431794517117319
BaseRepresentation
bin110000001110011110101100…
…111110101110000101011100
31000210222200110100000221102021
4300032132230332232011130
5210300031401124214322
62031033551304105524
762450545151101444
oct6016365476560534
91023880410027367
10212101272101212
116164470a6a576a
121b956792a652a4
1391470aaba86c0
143a53a835a1124
15197c392c284c7
hexc0e7acfae15c

212101272101212 has 96 divisors (see below), whose sum is σ = 411404974041600. Its totient is φ = 95060286381312.

The previous prime is 212101272101197. The next prime is 212101272101231.

It is a happy number.

212101272101212 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1807843489 + ... + 1807960807.

It is an arithmetic number, because the mean of its divisors is an integer number (4285468479600).

Almost surely, 2212101272101212 is an apocalyptic number.

It is an amenable number.

212101272101212 is a deficient number, since it is larger than the sum of its proper divisors (199303701940388).

212101272101212 is a wasteful number, since it uses less digits than its factorization.

212101272101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122075 (or 122073 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The spelling of 212101272101212 in words is "two hundred twelve trillion, one hundred one billion, two hundred seventy-two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 13 26 43 52 86 172 179 358 559 716 1118 2236 2327 4517 4654 7697 9034 9308 15394 18068 30788 58721 100061 117319 117442 194231 200122 234638 234884 388462 400244 469276 776924 808543 1525147 1617086 2525003 3050294 3234172 5044717 5050006 6100588 10089434 10100012 10511059 20178868 21000101 21022118 34767349 42000202 42044236 65581321 69534698 84000404 131162642 139069396 262325284 273001313 451975537 529929923 546002626 903004343 903951074 1059859846 1092005252 1806008686 1807902148 2119719692 3612017372 6889088999 11739056459 13778177998 22786986689 23478112918 27556355996 45573973378 46956225836 91147946756 94857456217 189714912434 296230826957 379429824868 592461653914 1184923307828 1233146930821 2466293861642 4078870617331 4932587723284 8157741234662 16315482469324 53025318025303 106050636050606 212101272101212