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222221100041 is a prime number
BaseRepresentation
bin1100111011110101101…
…0001110010000001001
3210020120222012112012122
43032331122032100021
512120102100200131
6250030441221025
722024563120143
oct3167532162011
9706528175178
10222221100041
1186275021596
1237099491775
1317c55c05495
14aa81377c93
155ba91c8d7b
hex33bd68e409

222221100041 has 2 divisors, whose sum is σ = 222221100042. Its totient is φ = 222221100040.

The previous prime is 222221100029. The next prime is 222221100047. The reversal of 222221100041 is 140001122222.

222221100041 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., 217491649600 + 4729450441 = 466360^2 + 68771^2 .

It is a cyclic number.

It is not a de Polignac number, because 222221100041 - 214 = 222221083657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222221099992 and 222221100019.

It is not a weakly prime, because it can be changed into another prime (222221100047) 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, 111110550020 + 111110550021.

It is an arithmetic number, because the mean of its divisors is an integer number (111110550021).

Almost surely, 2222221100041 is an apocalyptic number.

It is an amenable number.

222221100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

222221100041 is an equidigital number, since it uses as much as digits as its factorization.

222221100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222221100041 its reverse (140001122222), we get a palindrome (362222222263).

The spelling of 222221100041 in words is "two hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, forty-one".