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212201011101201 = 3298973937084613
BaseRepresentation
bin110000001111111011100101…
…111000110011111000010001
31000211100012220022120002221220
4300033323211320303320101
5210303200132320214301
62031151444305035253
762461005605442123
oct6017734570637021
91024305808502856
10212201011101201
1161682a41774681
121b971b89325b29
1391536145c3965
143a58825ac1213
15197ec7e0a9936
hexc0fee5e33e11

212201011101201 has 32 divisors (see below), whose sum is σ = 296380235088000. Its totient is φ = 134871690336768.

The previous prime is 212201011101187. The next prime is 212201011101217. The reversal of 212201011101201 is 102101110102212.

It is a happy number.

It is not a de Polignac number, because 212201011101201 - 25 = 212201011101169 is a prime.

It is a super-3 number, since 3×2122010111012013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212201011101301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12820230 + ... + 24264383.

It is an arithmetic number, because the mean of its divisors is an integer number (9261882346500).

Almost surely, 2212201011101201 is an apocalyptic number.

It is an amenable number.

212201011101201 is a deficient number, since it is larger than the sum of its proper divisors (84179223986799).

212201011101201 is a wasteful number, since it uses less digits than its factorization.

212201011101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37085473.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212201011101201 its reverse (102101110102212), we get a palindrome (314302121203413).

The spelling of 212201011101201 in words is "two hundred twelve trillion, two hundred one billion, eleven million, one hundred one thousand, two hundred one".

Divisors: 1 3 29 87 89 267 739 2217 2581 7743 21431 64293 65771 197313 1907359 5722077 37084613 111253839 1075453777 3226361331 3300530557 9901591671 27405529007 82216587021 95715386153 287146158459 794760341203 2384281023609 2439092081623 7317276244869 70733670367067 212201011101201