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22211100221 is a prime number
BaseRepresentation
bin10100101011111000…
…100111111000111101
32010022221002210112112
4110223320213320331
5330442020201341
614111552543405
71414261144142
oct245370477075
963287083475
1022211100221
119468650382
12437a551b65
13212c7c486b
141109c123c9
1589ee2baeb
hex52be27e3d

22211100221 has 2 divisors, whose sum is σ = 22211100222. Its totient is φ = 22211100220.

The previous prime is 22211100209. The next prime is 22211100227. The reversal of 22211100221 is 12200111222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13027711321 + 9183388900 = 114139^2 + 95830^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211100221 - 226 = 22143991357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22211100196 and 22211100205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22211100227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105550110 + 11105550111.

It is an arithmetic number, because the mean of its divisors is an integer number (11105550111).

Almost surely, 222211100221 is an apocalyptic number.

It is an amenable number.

22211100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211100221 is an equidigital number, since it uses as much as digits as its factorization.

22211100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22211100221 its reverse (12200111222), we get a palindrome (34411211443).

The spelling of 22211100221 in words is "twenty-two billion, two hundred eleven million, one hundred thousand, two hundred twenty-one".