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212011211112111 = 32294379377963277
BaseRepresentation
bin110000001101001010110100…
…111011010011111010101111
31000210200001222211101122222100
4300031022310323103322233
5210242042430021041421
62030524334504350143
762441206311241215
oct6015126473237257
91023601884348870
10212011211112111
116160a4a4608664
121b941239775353
13913b7575511c8
143a4d57c548cb5
151979d71350c26
hexc0d2b4ed3eaf

212011211112111 has 96 divisors (see below), whose sum is σ = 328361185152000. Its totient is φ = 131569173275904.

The previous prime is 212011211112097. The next prime is 212011211112121. The reversal of 212011211112111 is 111211112110212.

212011211112111 is a `hidden beast` number, since 21 + 201 + 121 + 111 + 211 + 1 = 666.

It is not a de Polignac number, because 212011211112111 - 210 = 212011211111087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011211112121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3350494005 + ... + 3350557281.

It is an arithmetic number, because the mean of its divisors is an integer number (3420429012000).

Almost surely, 2212011211112111 is an apocalyptic number.

212011211112111 is a deficient number, since it is larger than the sum of its proper divisors (116349974039889).

212011211112111 is a wasteful number, since it uses less digits than its factorization.

212011211112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67213 (or 67210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 212011211112111 its reverse (111211112110212), we get a palindrome (323222323222323).

The spelling of 212011211112111 in words is "two hundred twelve trillion, eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 9 29 43 79 87 129 237 261 387 711 1247 2291 3397 3741 3779 6873 10191 11223 11337 20619 30573 34011 63277 98513 109591 162497 189831 295539 298541 328773 487491 569493 886617 895623 986319 1462473 1835033 2686869 2720911 4712413 4998883 5505099 8162733 8657689 12837263 14137239 14996649 16515297 24488199 25973067 38511789 42411717 44989947 77919201 78906419 115535367 144967607 214951969 236719257 239123783 372280627 434902821 644855907 710157771 717371349 1116841881 1304708463 1934567721 2152114047 3350525643 6233607101 6934589707 10282322669 18700821303 18890778857 20803769121 30846968007 56102463909 56672336571 62411307363 92540904021 170017009713 298187357401 547832586853 812303490851 894562072203 1643497760559 2436910472553 2683686216609 4930493281677 7310731417659 23556801234679 70670403704037 212011211112111