Search a number
-
+
222100022113 is a prime number
BaseRepresentation
bin1100111011011000110…
…0010110001101100001
3210020021112101010111221
43032312030112031201
512114330101201423
6250010434135041
722021563016234
oct3166614261541
9706245333457
10222100022113
1186212743992
1237064a21481
1317c36ac1a38
14aa6d25b41b
155b9d75de5d
hex33b6316361

222100022113 has 2 divisors, whose sum is σ = 222100022114. Its totient is φ = 222100022112.

The previous prime is 222100022059. The next prime is 222100022117. The reversal of 222100022113 is 311220001222.

It is a happy number.

222100022113 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., 212588311329 + 9511710784 = 461073^2 + 97528^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222100022113 is a prime.

It is not a weakly prime, because it can be changed into another prime (222100022117) 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, 111050011056 + 111050011057.

It is an arithmetic number, because the mean of its divisors is an integer number (111050011057).

Almost surely, 2222100022113 is an apocalyptic number.

It is an amenable number.

222100022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

222100022113 is an equidigital number, since it uses as much as digits as its factorization.

222100022113 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 16.

Adding to 222100022113 its reverse (311220001222), we get a palindrome (533320023335).

The spelling of 222100022113 in words is "two hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred thirteen".