Search a number
-
+
122213222141 is a prime number
BaseRepresentation
bin111000111010001111…
…0011100011011111101
3102200110020201221111212
41301310132130123331
54000243041102031
6132051033254205
711554362151043
oct1616436343375
9380406657455
10122213222141
11479151a572a
121b828b64365
13b6a889807a
145cb5266393
1532a443512b
hex1c7479c6fd

122213222141 has 2 divisors, whose sum is σ = 122213222142. Its totient is φ = 122213222140.

The previous prime is 122213222129. The next prime is 122213222143. The reversal of 122213222141 is 141222312221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99112262041 + 23100960100 = 314821^2 + 151990^2 .

It is a cyclic number.

It is not a de Polignac number, because 122213222141 - 218 = 122212959997 is a prime.

It is a super-3 number, since 3×1222132221413 (a number of 34 digits) contains 333 as substring.

Together with 122213222143, 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 (122213222143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106611070 + 61106611071.

It is an arithmetic number, because the mean of its divisors is an integer number (61106611071).

Almost surely, 2122213222141 is an apocalyptic number.

It is an amenable number.

122213222141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213222141 is an equidigital number, since it uses as much as digits as its factorization.

122213222141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

Adding to 122213222141 its reverse (141222312221), we get a palindrome (263435534362).

The spelling of 122213222141 in words is "one hundred twenty-two billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred forty-one".