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221132324240341 = 37596771033144847
BaseRepresentation
bin110010010001111001100001…
…101000100111101111010101
31001222222001011212220212200121
4302101321201220213233111
5212441013000001142331
62102150442021511541
764402166065513633
oct6221714150475725
91058861155825617
10221132324240341
1164506768142598
1220974b13b725b1
1396508c50c45c7
143c86c0c332353
151a8725c5adc11
hexc91e61a27bd5

221132324240341 has 32 divisors (see below), whose sum is σ = 231524834618880. Its totient is φ = 210990739355136.

The previous prime is 221132324240323. The next prime is 221132324240371. The reversal of 221132324240341 is 143042423231122.

It is a cyclic number.

It is not a de Polignac number, because 221132324240341 - 217 = 221132324109269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221132324240297 and 221132324240306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132324240371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526588980 + ... + 1526733826.

It is an arithmetic number, because the mean of its divisors is an integer number (7235151081840).

Almost surely, 2221132324240341 is an apocalyptic number.

It is an amenable number.

221132324240341 is a deficient number, since it is larger than the sum of its proper divisors (10392510378539).

221132324240341 is a wasteful number, since it uses less digits than its factorization.

221132324240341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146653.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 221132324240341 its reverse (143042423231122), we get a palindrome (364174747471463).

The spelling of 221132324240341 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, three hundred twenty-four million, two hundred forty thousand, three hundred forty-one".

Divisors: 1 37 59 677 1033 2183 25049 38221 39943 60947 144847 699341 1477891 2255039 5359339 8545973 25875617 41261119 98061419 149626951 316201001 1526661403 3628272503 5536197187 5785623721 8827990109 101297445827 214068077677 326635634033 3748005495599 5976549303793 221132324240341