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221330133307 is a prime number
BaseRepresentation
bin1100111000100001001…
…1011101000100111011
3210011021212200201121201
43032020103131010323
512111241003231212
6245402212515031
721663524043403
oct3161023350473
9704255621551
10221330133307
11859580aa048
1236a8b01ba77
1317b4345262a
14a9d8ccd803
155b55d83b57
hex33884dd13b

221330133307 has 2 divisors, whose sum is σ = 221330133308. Its totient is φ = 221330133306.

The previous prime is 221330133293. The next prime is 221330133313. The reversal of 221330133307 is 703331033122.

221330133307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 221330133307 - 227 = 221195915579 is a prime.

It is not a weakly prime, because it can be changed into another prime (221330133397) 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 as a sum of consecutive naturals, namely, 110665066653 + 110665066654.

It is an arithmetic number, because the mean of its divisors is an integer number (110665066654).

Almost surely, 2221330133307 is an apocalyptic number.

221330133307 is a deficient number, since it is larger than the sum of its proper divisors (1).

221330133307 is an equidigital number, since it uses as much as digits as its factorization.

221330133307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 28.

Adding to 221330133307 its reverse (703331033122), we get a palindrome (924661166429).

The spelling of 221330133307 in words is "two hundred twenty-one billion, three hundred thirty million, one hundred thirty-three thousand, three hundred seven".