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11332112112 = 243330018741
BaseRepresentation
bin10101000110111001…
…00100111011110000
31002020202100221102000
422203130210323300
5141202010041422
65112250254000
7550551235506
oct124334447360
932222327360
1011332112112
114895755612
122243127300
1310b79898a9
14797042676
15464ce2cac
hex2a3724ef0

11332112112 has 80 divisors (see below), whose sum is σ = 32541920160. Its totient is φ = 3775680000.

The previous prime is 11332112041. The next prime is 11332112171. The reversal of 11332112112 is 21121123311.

11332112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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, 1292062 + ... + 1300802.

It is an arithmetic number, because the mean of its divisors is an integer number (406774002).

Almost surely, 211332112112 is an apocalyptic number.

11332112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332112112 is an abundant number, since it is smaller than the sum of its proper divisors (21209808048).

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

11332112112 is a wasteful number, since it uses less digits than its factorization.

11332112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759 (or 11747 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11332112112 its reverse (21121123311), we get a palindrome (32453235423).

The spelling of 11332112112 in words is "eleven billion, three hundred thirty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3001 6002 8741 9003 12004 17482 18006 24008 26223 27009 34964 36012 48016 52446 54018 69928 72024 78669 81027 104892 108036 139856 144048 157338 162054 209784 216072 236007 314676 324108 419568 432144 472014 629352 648216 944028 1258704 1296432 1888056 3776112 26231741 52463482 78695223 104926964 157390446 209853928 236085669 314780892 419707856 472171338 629561784 708257007 944342676 1259123568 1416514014 1888685352 2833028028 3777370704 5666056056 11332112112