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2122440432201 = 32326337226633
BaseRepresentation
bin11110111000101011010…
…011101101101001001001
321111220101112010021002100
4132320223103231221021
5234233224222312301
64303011412224013
7306225024002115
oct36705323555111
97456345107070
102122440432201
11749138323821
122a341500b009
131251b722285b
1474a25d7c745
153a322344286
hex1ee2b4eda49

2122440432201 has 12 divisors (see below), whose sum is σ = 3065841661428. Its totient is φ = 1414916732544.

The previous prime is 2122440432197. The next prime is 2122440432209. The reversal of 2122440432201 is 1022340442212.

It is a happy number.

2122440432201 is a `hidden beast` number, since 2 + 1 + 2 + 24 + 4 + 0 + 432 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1640131016976 + 482309415225 = 1280676^2 + 694485^2 .

It is not a de Polignac number, because 2122440432201 - 22 = 2122440432197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122440432209) 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 11 ways as a sum of consecutive naturals, for example, 3319620 + ... + 3907013.

It is an arithmetic number, because the mean of its divisors is an integer number (255486805119).

Almost surely, 22122440432201 is an apocalyptic number.

It is an amenable number.

2122440432201 is a deficient number, since it is larger than the sum of its proper divisors (943401229227).

2122440432201 is a wasteful number, since it uses less digits than its factorization.

2122440432201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259272 (or 7259269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2122440432201 its reverse (1022340442212), we get a palindrome (3144780874413).

The spelling of 2122440432201 in words is "two trillion, one hundred twenty-two billion, four hundred forty million, four hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 32633 97899 293697 7226633 21679899 65039697 235826714689 707480144067 2122440432201