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222112122161 is a prime number
BaseRepresentation
bin1100111011011011101…
…0100000010100110001
3210020022101010212122212
43032312322200110301
512114341200402121
6250011545341505
722022100613316
oct3166672402461
9706271125585
10222112122161
1186219558926
1237068a97895
1317c3946a427
14aa70acad0d
155b9e84e25b
hex33b6ea0531

222112122161 has 2 divisors, whose sum is σ = 222112122162. Its totient is φ = 222112122160.

The previous prime is 222112122157. The next prime is 222112122251. The reversal of 222112122161 is 161221211222.

222112122161 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., 209346511936 + 12765610225 = 457544^2 + 112985^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112122161 - 22 = 222112122157 is a prime.

It is not a weakly prime, because it can be changed into another prime (222112122131) 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, 111056061080 + 111056061081.

It is an arithmetic number, because the mean of its divisors is an integer number (111056061081).

Almost surely, 2222112122161 is an apocalyptic number.

It is an amenable number.

222112122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112122161 is an equidigital number, since it uses as much as digits as its factorization.

222112122161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 23.

Adding to 222112122161 its reverse (161221211222), we get a palindrome (383333333383).

The spelling of 222112122161 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred sixty-one".