Search a number
-
+
11121110112 = 253716549271
BaseRepresentation
bin10100101101101111…
…01010110001100000
31001201001022221002010
422112313222301200
5140234001010422
65035311552520
7542406606360
oct122667526140
931631287063
1011121110112
1147976386a2
1221a452b740
13108304c938
14776dd89a0
15451513b0c
hex296deac60

11121110112 has 48 divisors (see below), whose sum is σ = 33363332352. Its totient is φ = 3177459840.

The previous prime is 11121110111. The next prime is 11121110207. The reversal of 11121110112 is 21101112111.

11121110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121110111) 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 7 ways as a sum of consecutive naturals, for example, 8273964 + ... + 8275307.

It is an arithmetic number, because the mean of its divisors is an integer number (695069424).

Almost surely, 211121110112 is an apocalyptic number.

11121110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121110112 is an abundant number, since it is smaller than the sum of its proper divisors (22242222240).

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

11121110112 is a wasteful number, since it uses less digits than its factorization.

11121110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549291 (or 16549283 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11121110112 its reverse (21101112111), we get a palindrome (32222222223).

The spelling of 11121110112 in words is "eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 16549271 33098542 49647813 66197084 99295626 115844897 132394168 198591252 231689794 264788336 347534691 397182504 463379588 529576672 695069382 794365008 926759176 1390138764 1588730016 1853518352 2780277528 3707036704 5560555056 11121110112