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212012112012102 = 232101313457815279
BaseRepresentation
bin110000001101001011101010…
…100111111110001101000110
31000210200011022121121010102200
4300031023222213332031012
5210242101301133341402
62030525004130015330
762441240530615623
oct6015135247761506
91023604277533380
10212012112012102
116160a9170a5106
121b94144b417546
13913b86c0a141c
143a4d62605b34a
151979dc54a921c
hexc0d2ea9fe346

212012112012102 has 96 divisors (see below), whose sum is σ = 466408754398080. Its totient is φ = 69594738969600.

The previous prime is 212012112012091. The next prime is 212012112012131. The reversal of 212012112012102 is 201210211210212.

212012112012102 is a `hidden beast` number, since 21 + 20 + 1 + 211 + 201 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 259640899 + ... + 260456177.

It is an arithmetic number, because the mean of its divisors is an integer number (4858424524980).

Almost surely, 2212012112012102 is an apocalyptic number.

212012112012102 is an abundant number, since it is smaller than the sum of its proper divisors (254396642385978).

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

212012112012102 is a wasteful number, since it uses less digits than its factorization.

212012112012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816158 (or 816155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212012112012102 its reverse (201210211210212), we get a palindrome (413222323222314).

The spelling of 212012112012102 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 313 457 606 626 909 914 939 1371 1818 1878 2742 2817 4113 5634 8226 31613 46157 63226 92314 94839 138471 143041 189678 276942 284517 286082 415413 429123 569034 815279 830826 858246 1287369 1630558 2445837 2574738 4891674 7337511 14447141 14675022 28894282 43341423 82343179 86682846 130024269 164686358 247029537 255182327 260048538 372582503 494059074 510364654 741088611 745165006 765546981 1117747509 1482177222 1531093962 2235495018 2296640943 3353242527 4593281886 6706485054 25773415027 37630832803 51546830054 75261665606 77320245081 112892498409 116618323439 154640490162 225784996818 231960735243 233236646878 338677495227 349854970317 463921470486 677354990454 699709940634 1049564910951 2099129821902 11778450667339 23556901334678 35335352002017 70670704004034 106006056006051 212012112012102