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331222201213201 = 9373001338934757
BaseRepresentation
bin100101101001111101010110…
…1101001010010000100010001
31121102202112101200211221102021
41023103322231221102010101
5321403221032002310301
63132241213441051441
7126524004630110404
oct11323725551220421
91542675350757367
10331222201213201
11965a0601704751
12311950b9026b81
13112a81728712bc
145bb1350aa7d3b
152845cb244a8a1
hex12d3eada52111

331222201213201 has 16 divisors (see below), whose sum is σ = 331793599047120. Its totient is φ = 330651345024000.

The previous prime is 331222201213039. The next prime is 331222201213231. The reversal of 331222201213201 is 102312102222133.

It can be written as a sum of positive squares in 8 ways, for example, as 2502094403601 + 328720106809600 = 1581801^2 + 18130640^2 .

It is a cyclic number.

It is not a de Polignac number, because 331222201213201 - 29 = 331222201212689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331222201213231) 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 15 ways as a sum of consecutive naturals, for example, 9529637115 + ... + 9529671871.

It is an arithmetic number, because the mean of its divisors is an integer number (20737099940445).

Almost surely, 2331222201213201 is an apocalyptic number.

It is an amenable number.

331222201213201 is a deficient number, since it is larger than the sum of its proper divisors (571397833919).

331222201213201 is a wasteful number, since it uses less digits than its factorization.

331222201213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42084.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 331222201213201 its reverse (102312102222133), we get a palindrome (433534303435334).

The spelling of 331222201213201 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, two hundred one million, two hundred thirteen thousand, two hundred one".

Divisors: 1 937 3001 3389 34757 2811937 3175493 10170389 32567309 104305757 117791473 9529654493 97734494309 110370610201 353492210473 331222201213201