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221221100141 is a prime number
BaseRepresentation
bin1100111000000111001…
…1100001101001101101
3210011000021112021020022
43032001303201221231
512111030100201031
6245343315531525
721661031216426
oct3160163415155
9704007467208
10221221100141
11859015a8898
1236a5a5b9ba5
1317b26998372
14a9c862a64d
155b4b4e797b
hex3381ce1a6d

221221100141 has 2 divisors, whose sum is σ = 221221100142. Its totient is φ = 221221100140.

The previous prime is 221221100041. The next prime is 221221100167. The reversal of 221221100141 is 141001122122.

221221100141 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 can be written as a sum of positive squares in only one way, i.e., 149134220041 + 72086880100 = 386179^2 + 268490^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221100141 - 222 = 221216905837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221100041) 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, 110610550070 + 110610550071.

It is an arithmetic number, because the mean of its divisors is an integer number (110610550071).

Almost surely, 2221221100141 is an apocalyptic number.

It is an amenable number.

221221100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221100141 is an equidigital number, since it uses as much as digits as its factorization.

221221100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221221100141 its reverse (141001122122), we get a palindrome (362222222263).

The spelling of 221221100141 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, one hundred forty-one".