Search a number
-
+
122201310311 is a prime number
BaseRepresentation
bin111000111001111000…
…1000000010001100111
3102200102102022202112222
41301303301000101213
54000232013412221
6132045530102555
711554155666503
oct1616361002147
9380372282488
10122201310311
11479094aa143
121b824b7aa5b
13b6a6287252
145cb3845303
1532a33809ab
hex1c73c40467

122201310311 has 2 divisors, whose sum is σ = 122201310312. Its totient is φ = 122201310310.

The previous prime is 122201310277. The next prime is 122201310379. The reversal of 122201310311 is 113013102221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122201310311 - 214 = 122201293927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122201310311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201310391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100655155 + 61100655156.

It is an arithmetic number, because the mean of its divisors is an integer number (61100655156).

Almost surely, 2122201310311 is an apocalyptic number.

122201310311 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201310311 is an equidigital number, since it uses as much as digits as its factorization.

122201310311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122201310311 its reverse (113013102221), we get a palindrome (235214412532).

The spelling of 122201310311 in words is "one hundred twenty-two billion, two hundred one million, three hundred ten thousand, three hundred eleven".