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221321331033 = 31119352984579
BaseRepresentation
bin1100111000011111000…
…1111000000101011001
3210011021021010112011120
43032013301320011121
512111231230043113
6245401300115453
721663356162655
oct3160761700531
9704237115146
10221321331033
1185953137840
1236a88095b89
1317b4168cc9a
14a9d7a7ba65
155b551e5a23
hex3387c78159

221321331033 has 16 divisors (see below), whose sum is σ = 338865196800. Its totient is φ = 127074448080.

The previous prime is 221321331013. The next prime is 221321331037. The reversal of 221321331033 is 330133123122.

221321331033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221321331033 - 224 = 221304553817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221321330994 and 221321331012.

It is not an unprimeable number, because it can be changed into a prime (221321331037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176491663 + ... + 176492916.

It is an arithmetic number, because the mean of its divisors is an integer number (21179074800).

Almost surely, 2221321331033 is an apocalyptic number.

It is an amenable number.

221321331033 is a deficient number, since it is larger than the sum of its proper divisors (117543865767).

221321331033 is a wasteful number, since it uses less digits than its factorization.

221321331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352984612.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 221321331033 its reverse (330133123122), we get a palindrome (551454454155).

The spelling of 221321331033 in words is "two hundred twenty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, thirty-three".

Divisors: 1 3 11 19 33 57 209 627 352984579 1058953737 3882830369 6706707001 11648491107 20120121003 73773777011 221321331033