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222002130113 is a prime number
BaseRepresentation
bin1100111011000001011…
…0111010110011000001
3210020000201011200221022
43032300112322303001
512114130021130423
6245553020035225
722016263653641
oct3166026726301
9706021150838
10222002130113
1186172462205
1237038092b15
1317c1c73888a
14aa60258521
155b94d73dc8
hex33b05bacc1

222002130113 has 2 divisors, whose sum is σ = 222002130114. Its totient is φ = 222002130112.

The previous prime is 222002130083. The next prime is 222002130137. The reversal of 222002130113 is 311031200222.

222002130113 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., 211371901504 + 10630228609 = 459752^2 + 103103^2 .

It is a cyclic number.

It is not a de Polignac number, because 222002130113 - 216 = 222002064577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222002130091 and 222002130100.

It is not a weakly prime, because it can be changed into another prime (222002130013) 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, 111001065056 + 111001065057.

It is an arithmetic number, because the mean of its divisors is an integer number (111001065057).

Almost surely, 2222002130113 is an apocalyptic number.

It is an amenable number.

222002130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

222002130113 is an equidigital number, since it uses as much as digits as its factorization.

222002130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222002130113 its reverse (311031200222), we get a palindrome (533033330335).

The spelling of 222002130113 in words is "two hundred twenty-two billion, two million, one hundred thirty thousand, one hundred thirteen".