Search a number
-
+
222011012231 is a prime number
BaseRepresentation
bin1100111011000011100…
…0110011010010000111
3210020001022212221220122
43032300320303102013
512114134304342411
6245553534252155
722016432316221
oct3166070632207
9706038787818
10222011012231
11861774794a8
123703b05705b
1317c21528678
14aa614cb411
155b95a2a9db
hex33b0e33487

222011012231 has 2 divisors, whose sum is σ = 222011012232. Its totient is φ = 222011012230.

The previous prime is 222011012221. The next prime is 222011012233. The reversal of 222011012231 is 132210110222.

222011012231 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 is a cyclic number.

It is not a de Polignac number, because 222011012231 - 222 = 222006817927 is a prime.

It is a super-3 number, since 3×2220110122313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 222011012233, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222011012233) 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, 111005506115 + 111005506116.

It is an arithmetic number, because the mean of its divisors is an integer number (111005506116).

Almost surely, 2222011012231 is an apocalyptic number.

222011012231 is a deficient number, since it is larger than the sum of its proper divisors (1).

222011012231 is an equidigital number, since it uses as much as digits as its factorization.

222011012231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 222011012231 its reverse (132210110222), we get a palindrome (354221122453).

The spelling of 222011012231 in words is "two hundred twenty-two billion, eleven million, twelve thousand, two hundred thirty-one".