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443402343221131 = 71932741580120641
BaseRepresentation
bin110010011010001011010011…
…1001010010000011110001011
32011010221211221200012202000001
41210310112213022100132023
5431104200444331034011
64211012120250223431
7162252522262140610
oct14464264712203613
92133854850182001
10443402343221131
11119310972300528
1241892417724b77
131605487a57c608
147b6cb0609c507
15363dda4a457c1
hex19345a729078b

443402343221131 has 32 divisors (see below), whose sum is σ = 509669524112256. Its totient is φ = 377868533760000.

The previous prime is 443402343221111. The next prime is 443402343221141. The reversal of 443402343221131 is 131122343204344.

It is a cyclic number.

It is not a de Polignac number, because 443402343221131 - 29 = 443402343220619 is a prime.

It is a super-2 number, since 2×4434023432211312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (443402343221111) 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 31 ways as a sum of consecutive naturals, for example, 21481620571 + ... + 21481641211.

It is an arithmetic number, because the mean of its divisors is an integer number (15927172628508).

Almost surely, 2443402343221131 is an apocalyptic number.

443402343221131 is a deficient number, since it is larger than the sum of its proper divisors (66267180891125).

443402343221131 is a wasteful number, since it uses less digits than its factorization.

443402343221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29383.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 443402343221131 its reverse (131122343204344), we get a palindrome (574524686425475).

The spelling of 443402343221131 in words is "four hundred forty-three trillion, four hundred two billion, three hundred forty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 193 1351 2741 5801 19187 20641 40607 144487 529013 1119593 3703091 3983713 7837151 15900541 27885991 56576981 111303787 119738441 396038867 838169087 3068804413 10919357333 21481630891 23109519113 76435501331 161766633791 328203066781 2297421467467 63343191888733 443402343221131