Search a number
-
+
222112122131 is a prime number
BaseRepresentation
bin1100111011011011101…
…0100000010100010011
3210020022101010212121202
43032312322200110103
512114341200402011
6250011545341415
722022100613244
oct3166672402423
9706271125552
10222112122131
11862195588a9
1237068a9786b
1317c3946a403
14aa70acaccb
155b9e84e23b
hex33b6ea0513

222112122131 has 2 divisors, whose sum is σ = 222112122132. Its totient is φ = 222112122130.

The previous prime is 222112122109. The next prime is 222112122157. The reversal of 222112122131 is 131221211222.

222112122131 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 is a cyclic number.

It is not a de Polignac number, because 222112122131 - 210 = 222112121107 is a prime.

It is a super-2 number, since 2×2221121221312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222112122161) 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, 111056061065 + 111056061066.

It is an arithmetic number, because the mean of its divisors is an integer number (111056061066).

Almost surely, 2222112122131 is an apocalyptic number.

222112122131 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112122131 is an equidigital number, since it uses as much as digits as its factorization.

222112122131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

Adding to 222112122131 its reverse (131221211222), we get a palindrome (353333333353).

The spelling of 222112122131 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-one".