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11112102222 = 23137111811699
BaseRepresentation
bin10100101100101010…
…10011100101001110
31001200102101021120120
422112111103211032
5140224144232342
65034350525410
7542240211324
oct122625234516
931612337516
1011112102222
114792545961
1221a1506866
131081217820
14775b31d14
15450834aec
hex29655394e

11112102222 has 64 divisors (see below), whose sum is σ = 24305702400. Its totient is φ = 3366115200.

The previous prime is 11112102193. The next prime is 11112102227. The reversal of 11112102222 is 22220121111.

11112102222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112102227) 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, 6539529 + ... + 6541227.

It is an arithmetic number, because the mean of its divisors is an integer number (379776600).

Almost surely, 211112102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152851200).

11112102222 is an abundant number, since it is smaller than the sum of its proper divisors (13193600178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11112102222 is a wasteful number, since it uses less digits than its factorization.

11112102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11112102222 its reverse (22220121111), we get a palindrome (33332223333).

The spelling of 11112102222 in words is "eleven billion, one hundred twelve million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1181 1699 1846 2362 2769 3398 3543 5097 5538 7086 10194 15353 22087 30706 44174 46059 66261 83851 92118 120629 132522 167702 241258 251553 361887 503106 723774 1090063 1568177 2006519 2180126 3136354 3270189 4013038 4704531 6019557 6540378 9409062 12039114 26084747 52169494 78254241 142462849 156508482 284925698 427388547 854777094 1852017037 3704034074 5556051111 11112102222