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4431312222201 = 324168111812769
BaseRepresentation
bin100000001111011111011…
…0010100111011111111001
3120200121222202201202202100
41000132332302213133321
51040100311412102301
613231414451454013
7635103022256514
oct100367662473771
916617882652670
104431312222201
111459344252a57
125b69995b7309
13261b42625cb7
14114695d2dd7b
157a4067d4286
hex407beca77f9

4431312222201 has 12 divisors (see below), whose sum is σ = 6400938428820. Its totient is φ = 2954137021440.

The previous prime is 4431312222191. The next prime is 4431312222209. The reversal of 4431312222201 is 1022222131344.

4431312222201 is a `hidden beast` number, since 4 + 4 + 313 + 122 + 2 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4005105628176 + 426206594025 = 2001276^2 + 652845^2 .

It is not a de Polignac number, because 4431312222201 - 222 = 4431308027897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4431312222209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5531256 + ... + 6281513.

It is an arithmetic number, because the mean of its divisors is an integer number (533411535735).

Almost surely, 24431312222201 is an apocalyptic number.

It is an amenable number.

4431312222201 is a deficient number, since it is larger than the sum of its proper divisors (1969626206619).

4431312222201 is a wasteful number, since it uses less digits than its factorization.

4431312222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11854456 (or 11854453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4431312222201 its reverse (1022222131344), we get a palindrome (5453534353545).

The spelling of 4431312222201 in words is "four trillion, four hundred thirty-one billion, three hundred twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 41681 125043 375129 11812769 35438307 106314921 492368024689 1477104074067 4431312222201