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312142200121422 = 2321129443122711587
BaseRepresentation
bin100011011111001000100010…
…0111101010010100001001110
31111221012111120121122022121100
41012332101010331102201032
5311403114211212341142
63023512051440243530
7122514346463545056
oct10676210475224116
91457174517568540
10312142200121422
1190504844490230
122b0132bb3105a6
1310522b6342b388
145711a97d12566
1526148056e3b4c
hex11be444f5284e

312142200121422 has 96 divisors (see below), whose sum is σ = 764954588810880. Its totient is φ = 91120715300160.

The previous prime is 312142200121421. The next prime is 312142200121459. The reversal of 312142200121422 is 224121002241213.

312142200121422 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 220 + 0 + 12 + 1 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142200121421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58812088 + ... + 63899499.

It is an arithmetic number, because the mean of its divisors is an integer number (7968276966780).

Almost surely, 2312142200121422 is an apocalyptic number.

312142200121422 is an abundant number, since it is smaller than the sum of its proper divisors (452812388689458).

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

312142200121422 is a wasteful number, since it uses less digits than its factorization.

312142200121422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122712078 (or 122712075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 312142200121422 its reverse (224121002241213), we get a palindrome (536263202362635).

The spelling of 312142200121422 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred million, one hundred twenty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 443 522 638 886 957 1329 1914 2658 2871 3987 4873 5742 7974 9746 12847 14619 25694 29238 38541 43857 77082 87714 115623 141317 231246 282634 423951 847902 1271853 2543706 122711587 245423174 368134761 736269522 1104404283 1349827457 2208808566 2699654914 3558636023 4049482371 7117272046 8098964742 10675908069 12148447113 21351816138 24296894226 32027724207 39144996253 54361233041 64055448414 78289992506 108722466082 117434988759 163083699123 234869977518 326167398246 352304966277 489251097369 597973563451 704609932554 978502194738 1195947126902 1576475758189 1793920690353 3152951516378 3587841380706 4729427274567 5381762071059 9458854549134 10763524142118 14188281823701 17341233340079 28376563647402 34682466680158 52023700020237 104047400040474 156071100060711 312142200121422