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212224112304201 = 3378796329103681
BaseRepresentation
bin110000010000010001000110…
…110100111010000001001001
31000211102102112021112210222000
4300100101012310322001021
5210304034440222213301
62031210224500021213
762462454225434154
oct6020210664720111
91024372467483860
10212224112304201
11616918167a7388
121b976555991809
13915585662804a
143a599b7bd4c9b
15198068220a786
hexc10446d3a049

212224112304201 has 32 divisors (see below), whose sum is σ = 314811896131200. Its totient is φ = 141300137041920.

The previous prime is 212224112304137. The next prime is 212224112304203. The reversal of 212224112304201 is 102403211422212.

212224112304201 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 4 + 1 + 1 + 230 + 420 + 1 = 666.

It is not a de Polignac number, because 212224112304201 - 26 = 212224112304137 is a prime.

It is a super-2 number, since 2×2122241123042012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212224112304203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046843081 + ... + 2046946761.

It is an arithmetic number, because the mean of its divisors is an integer number (9837871754100).

Almost surely, 2212224112304201 is an apocalyptic number.

It is an amenable number.

212224112304201 is a deficient number, since it is larger than the sum of its proper divisors (102587783826999).

212224112304201 is a wasteful number, since it uses less digits than its factorization.

212224112304201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200806 (or 200800 counting only the distinct ones).

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

Adding to 212224112304201 its reverse (102403211422212), we get a palindrome (314627323726413).

The spelling of 212224112304201 in words is "two hundred twelve trillion, two hundred twenty-four billion, one hundred twelve million, three hundred four thousand, two hundred one".

Divisors: 1 3 9 27 787 2361 7083 21249 96329 103681 288987 311043 866961 933129 2600883 2799387 75810923 81596947 227432769 244790841 682298307 734372523 2046894921 2203117569 9987487049 29962461147 89887383441 269662150323 7860152307563 23580456922689 70741370768067 212224112304201