Search a number
-
+
122222122101 = 334796313729
BaseRepresentation
bin111000111010100000…
…0011001010001110101
3102200110212111002222000
41301311000121101311
54000302330401401
6132051552125513
711554530616332
oct1616500312165
9380425432860
10122222122101
114791a224372
121b82bb36899
13b6aa693011
145cb6501989
1532a50e2186
hex1c75019475

122222122101 has 16 divisors (see below), whose sum is σ = 184922361600. Its totient is φ = 79747766784.

The previous prime is 122222122097. The next prime is 122222122109. The reversal of 122222122101 is 101221222221.

It is a happy number.

122222122101 is a `hidden beast` number, since 1 + 222 + 221 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 122222122101 - 22 = 122222122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222122109) 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 15 ways as a sum of consecutive naturals, for example, 48155596 + ... + 48158133.

It is an arithmetic number, because the mean of its divisors is an integer number (11557647600).

Almost surely, 2122222122101 is an apocalyptic number.

It is an amenable number.

122222122101 is a deficient number, since it is larger than the sum of its proper divisors (62700239499).

122222122101 is an equidigital number, since it uses as much as digits as its factorization.

122222122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96313785 (or 96313779 counting only the distinct ones).

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

Adding to 122222122101 its reverse (101221222221), we get a palindrome (223443344322).

The spelling of 122222122101 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 27 47 141 423 1269 96313729 288941187 866823561 2600470683 4526745263 13580235789 40740707367 122222122101