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11112421112 = 2313237875903
BaseRepresentation
bin10100101100101101…
…00001011011111000
31001200102222111000022
422112112201123320
5140224234433422
65034401430012
7542243010122
oct122626413370
931612874008
1011112421112
114792743501
1221a163b308
1310812c9a10
14775bb6212
15450899342
hex2965a16f8

11112421112 has 64 divisors (see below), whose sum is σ = 23447854080. Its totient is φ = 4898754432.

The previous prime is 11112421091. The next prime is 11112421123. The reversal of 11112421112 is 21112421111.

11112421112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1879553 + ... + 1885455.

It is an arithmetic number, because the mean of its divisors is an integer number (366372720).

Almost surely, 211112421112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723927040).

11112421112 is an abundant number, since it is smaller than the sum of its proper divisors (12335432968).

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

11112421112 is a wasteful number, since it uses less digits than its factorization.

11112421112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6728 counting only the distinct ones).

The product of its digits is 32, while the sum is 17.

Adding to 11112421112 its reverse (21112421111), we get a palindrome (32224842223).

Subtracting 11112421112 from its reverse (21112421111), we obtain a palindrome (9999999999).

The spelling of 11112421112 in words is "eleven billion, one hundred twelve million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 787 1196 1574 2392 3148 5903 6296 10231 11806 18101 20462 23612 36202 40924 47224 72404 76739 81848 135769 144808 153478 235313 271538 306956 470626 543076 613912 941252 1086152 1764997 1882504 3529994 4645661 7059988 9291322 14119976 18582644 37165288 60393593 106850203 120787186 213700406 241574372 427400812 483148744 854801624 1389052639 2778105278 5556210556 11112421112