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122222102221 = 2913753815717
BaseRepresentation
bin111000111010100000…
…0010100011011001101
3102200110212110002200201
41301311000110123031
54000302324232341
6132051551453501
711554530504352
oct1616500243315
9380425402621
10122222102221
114791a21043a
121b82bb27291
13b6aa686c5b
145cb64d8629
1532a50db331
hex1c750146cd

122222102221 has 16 divisors (see below), whose sum is σ = 127405502640. Its totient is φ = 117103920640.

The previous prime is 122222102131. The next prime is 122222102231. The reversal of 122222102221 is 122201222221.

It can be written as a sum of positive squares in 8 ways, for example, as 8934121 + 122213168100 = 2989^2 + 349590^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222102221 - 29 = 122222101709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222102231) 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, 21375855 + ... + 21381571.

It is an arithmetic number, because the mean of its divisors is an integer number (7962843915).

Almost surely, 2122222102221 is an apocalyptic number.

It is an amenable number.

122222102221 is a deficient number, since it is larger than the sum of its proper divisors (5183400419).

122222102221 is a wasteful number, since it uses less digits than its factorization.

122222102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122222102221 its reverse (122201222221), we get a palindrome (244423324442).

The spelling of 122222102221 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 29 137 3973 5381 5717 156049 165793 737197 783229 21378713 22713641 30763177 892132133 4214555249 122222102221