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11121113224 = 23134125110391
BaseRepresentation
bin10100101101101111…
…01011100010001000
31001201001100002100101
422112313223202020
5140234001110344
65035312015144
7542406621424
oct122667534210
931631302311
1011121113224
11479763aa71
1221a45314b4
131083051190
14776dd9b84
154515149d4
hex296deb888

11121113224 has 64 divisors (see below), whose sum is σ = 23097674880. Its totient is φ = 4987200000.

The previous prime is 11121113189. The next prime is 11121113239. The reversal of 11121113224 is 42231112111.

11121113224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1065069 + ... + 1075459.

It is an arithmetic number, because the mean of its divisors is an integer number (360901170).

Almost surely, 211121113224 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 11121113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548837440).

11121113224 is an abundant number, since it is smaller than the sum of its proper divisors (11976561656).

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

11121113224 is a wasteful number, since it uses less digits than its factorization.

11121113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10698 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

Adding to 11121113224 its reverse (42231112111), we get a palindrome (53352225335).

The spelling of 11121113224 in words is "eleven billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 251 328 502 533 1004 1066 2008 2132 3263 4264 6526 10291 10391 13052 20582 20782 26104 41164 41564 82328 83128 133783 135083 267566 270166 426031 535132 540332 852062 1070264 1080664 1704124 2608141 3408248 5216282 5538403 10432564 11076806 20865128 22153612 33905833 44307224 67811666 106933781 135623332 213867562 271246664 427735124 855470248 1390139153 2780278306 5560556612 11121113224