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221002221232331 = 7114553536303151
BaseRepresentation
bin110010010000000000010110…
…111001000010000011001011
31001222111121100210011021122022
4302100000112321002003023
5212431400022113413311
62102011004022515055
764356612031265450
oct6220002671020313
91058447323137568
10221002221232331
1164466574407a80
1220953864895a8b
13964155ca950b6
143c807c92d1827
151a83b9569e5db
hexc90016e420cb

221002221232331 has 16 divisors (see below), whose sum is σ = 275535885677568. Its totient is φ = 172209117528000.

The previous prime is 221002221232267. The next prime is 221002221232333. The reversal of 221002221232331 is 133232122200122.

It is not a de Polignac number, because 221002221232331 - 26 = 221002221232267 is a prime.

It is a super-2 number, since 2×2210022212323312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221002221232331.

It is not an unprimeable number, because it can be changed into a prime (221002221232333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31910606 + ... + 38213756.

It is an arithmetic number, because the mean of its divisors is an integer number (17220992854848).

Almost surely, 2221002221232331 is an apocalyptic number.

221002221232331 is a deficient number, since it is larger than the sum of its proper divisors (54533664445237).

221002221232331 is a wasteful number, since it uses less digits than its factorization.

221002221232331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758522.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221002221232331 its reverse (133232122200122), we get a palindrome (354234343432453).

The spelling of 221002221232331 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-one million, two hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 77 455353 3187471 5008883 6303151 35062181 44122057 69334661 485342627 2870158717303 20091111021121 31571745890333 221002221232331