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212201202100112 = 24235772269440443
BaseRepresentation
bin110000001111111011110001…
…010001011010011110010000
31000211100020101121221212012122
4300033323301101122132100
5210303201030214200422
62031151515250513412
762461013415060221
oct6017736121323620
91024306347855178
10212201202100112
116168302a569a15
121b972021295868
139153645048c74
143a588431dd248
15197ec90c36d42
hexc0fef145a790

212201202100112 has 80 divisors (see below), whose sum is σ = 429949382252160. Its totient is φ = 101266762899456.

The previous prime is 212201202100009. The next prime is 212201202100117. The reversal of 212201202100112 is 211001202102212.

212201202100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212201202100117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481570163 + ... + 482010605.

It is an arithmetic number, because the mean of its divisors is an integer number (5374367278152).

Almost surely, 2212201202100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201202100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214974691126080).

212201202100112 is an abundant number, since it is smaller than the sum of its proper divisors (217748180152048).

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

212201202100112 is a wasteful number, since it uses less digits than its factorization.

212201202100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443320 (or 443314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212201202100112 its reverse (211001202102212), we get a palindrome (423202404202324).

The spelling of 212201202100112 in words is "two hundred twelve trillion, two hundred one billion, two hundred two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 577 1154 2269 2308 4538 4616 9076 9232 13271 18152 26542 36304 52187 53084 104374 106168 208748 212336 417496 440443 834992 880886 1309213 1761772 2618426 3523544 5236852 7047088 10130189 10473704 20260378 20947408 30111899 40520756 60223798 81041512 120447596 162083024 240895192 254135611 481790384 508271222 999365167 1016542444 1998730334 2033084888 3997460668 4066169776 5845119053 7994921336 11690238106 15989842672 22985398841 23380476212 45970797682 46760952424 91941595364 93521904848 183883190728 367766381456 576633701359 1153267402718 2306534805436 4613069610872 9226139221744 13262575131257 26525150262514 53050300525028 106100601050056 212201202100112