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221038396961 is a prime number
BaseRepresentation
bin1100110111011011101…
…0100100011000100001
3210010112112201222120212
43031312322210120201
512110141312200321
6245313231543505
721653352242204
oct3156672443041
9703475658525
10221038396961
118581845a228
1236a0938ab95
1317ac7b88c85
14a9ac26b93b
155b3a45855b
hex3376ea4621

221038396961 has 2 divisors, whose sum is σ = 221038396962. Its totient is φ = 221038396960.

The previous prime is 221038396949. The next prime is 221038397009. The reversal of 221038396961 is 169693830122.

It is a happy number.

221038396961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141503116561 + 79535280400 = 376169^2 + 282020^2 .

It is a cyclic number.

It is not a de Polignac number, because 221038396961 - 234 = 203858527777 is a prime.

It is a super-2 number, since 2×2210383969612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221038396661) 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, 110519198480 + 110519198481.

It is an arithmetic number, because the mean of its divisors is an integer number (110519198481).

Almost surely, 2221038396961 is an apocalyptic number.

It is an amenable number.

221038396961 is a deficient number, since it is larger than the sum of its proper divisors (1).

221038396961 is an equidigital number, since it uses as much as digits as its factorization.

221038396961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 221038396961 in words is "two hundred twenty-one billion, thirty-eight million, three hundred ninety-six thousand, nine hundred sixty-one".