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212112021120201 = 32173741913878101
BaseRepresentation
bin110000001110101000101101…
…101010111110010011001001
31000211000201012110012200102200
4300032220231222332103021
5210300220404401321301
62031042530044550413
762451405422205306
oct6016505552762311
91024021173180380
10212112021120201
116164922619a834
121b958892852409
139148101b08c77
143a543c2dbc0ad
15197c7c173cc86
hexc0ea2dabe4c9

212112021120201 has 48 divisors (see below), whose sum is σ = 341300571485328. Its totient is φ = 126334508544000.

The previous prime is 212112021120143. The next prime is 212112021120211. The reversal of 212112021120201 is 102021120211212.

212112021120201 is a `hidden beast` number, since 2 + 1 + 211 + 20 + 211 + 20 + 201 = 666.

212112021120201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1291029975225 + 210820991144976 = 1136235^2 + 14519676^2 .

It is not a de Polignac number, because 212112021120201 - 218 = 212112020858057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112021120211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456706950 + ... + 457171151.

It is an arithmetic number, because the mean of its divisors is an integer number (7110428572611).

Almost surely, 2212112021120201 is an apocalyptic number.

It is an amenable number.

212112021120201 is a deficient number, since it is larger than the sum of its proper divisors (129188550365127).

212112021120201 is a wasteful number, since it uses less digits than its factorization.

212112021120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913878202 (or 913878199 counting only the distinct ones).

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

Adding to 212112021120201 its reverse (102021120211212), we get a palindrome (314133141331413).

The spelling of 212112021120201 in words is "two hundred twelve trillion, one hundred twelve billion, twenty-one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 17 37 41 51 111 123 153 333 369 629 697 1517 1887 2091 4551 5661 6273 13653 25789 77367 232101 913878101 2741634303 8224902909 15535927717 33813489737 37469002141 46607783151 101440469211 112407006423 139823349453 304321407633 337221019269 574829325529 636973036397 1386353079217 1724487976587 1910919109191 4159059237651 5173463929761 5732757327573 12477177712953 23568002346689 70704007040067 212112021120201