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221341331421 = 32721926416199
BaseRepresentation
bin1100111000100011111…
…0001010111111011101
3210011022122202122112200
43032020332022333131
512111301340101141
6245403252522113
721664021163100
oct3161076127735
9704278678480
10221341331421
1185963458391
1236a92920339
1317b45873632
14a9da5a6737
155b56d46ab6
hex3388f8afdd

221341331421 has 36 divisors (see below), whose sum is σ = 391488084000. Its totient is φ = 119823874128.

The previous prime is 221341331417. The next prime is 221341331441. The reversal of 221341331421 is 124133143122.

221341331421 is a `hidden beast` number, since 2 + 2 + 1 + 341 + 3 + 314 + 2 + 1 = 666.

It is not a de Polignac number, because 221341331421 - 22 = 221341331417 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221341331441) 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 35 ways as a sum of consecutive naturals, for example, 13199721 + ... + 13216478.

It is an arithmetic number, because the mean of its divisors is an integer number (10874669000).

Almost surely, 2221341331421 is an apocalyptic number.

221341331421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221341331421 is a deficient number, since it is larger than the sum of its proper divisors (170146752579).

221341331421 is a wasteful number, since it uses less digits than its factorization.

221341331421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26416238 (or 26416228 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 221341331421 its reverse (124133143122), we get a palindrome (345474474543).

The spelling of 221341331421 in words is "two hundred twenty-one billion, three hundred forty-one million, three hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 26416199 79248597 184913393 237745791 501907781 554740179 1294393751 1505723343 1664220537 3513354467 3883181253 4517170029 10540063401 11649543759 24593481269 31620190203 73780443807 221341331421