Search a number
-
+
122220122211 = 33112317891981
BaseRepresentation
bin111000111010011100…
…0110001000001100011
3102200110201201111122000
41301310320301001203
54000301322402321
6132051441215043
711554504616625
oct1616470610143
9380421644560
10122220122211
1147919088870
121b82b331483
13b6aa142955
145cb6140c15
1532a4d49826
hex1c74e31063

122220122211 has 32 divisors (see below), whose sum is σ = 206115632640. Its totient is φ = 70852240800.

The previous prime is 122220122203. The next prime is 122220122261. The reversal of 122220122211 is 112221022221.

It is a happy number.

It is not a de Polignac number, because 122220122211 - 23 = 122220122203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122220122261) 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 in 31 ways as a sum of consecutive naturals, for example, 8939160 + ... + 8952821.

It is an arithmetic number, because the mean of its divisors is an integer number (6441113520).

Almost surely, 2122220122211 is an apocalyptic number.

122220122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122220122211 is a deficient number, since it is larger than the sum of its proper divisors (83895510429).

122220122211 is a wasteful number, since it uses less digits than its factorization.

122220122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17892024 (or 17892018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122220122211 its reverse (112221022221), we get a palindrome (234441144432).

The spelling of 122220122211 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831 17891981 53675943 161027829 196811791 411515563 483083487 590435373 1234546689 1771306119 3703640067 4526671193 5313918357 11110920201 13580013579 40740040737 122220122211