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11214041112 = 233446737057
BaseRepresentation
bin10100111000110100…
…01011000000011000
31001221112012022110000
422130122023000120
5140431243303422
65052431453000
7544615530261
oct123432130030
931845168400
1011214041112
11483504107a
12220b687160
1310993899b1
147854a9968
1545976dcac
hex29c68b018

11214041112 has 80 divisors (see below), whose sum is σ = 31477806360. Its totient is φ = 3729908736.

The previous prime is 11214041089. The next prime is 11214041119. The reversal of 11214041112 is 21114041211.

11214041112 is a `hidden beast` number, since 112 + 140 + 411 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214041119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 284088 + ... + 321144.

Almost surely, 211214041112 is an apocalyptic number.

11214041112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738903180).

11214041112 is an abundant number, since it is smaller than the sum of its proper divisors (20263765248).

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

11214041112 is a wasteful number, since it uses less digits than its factorization.

11214041112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37542 (or 37529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11214041112 its reverse (21114041211), we get a palindrome (32328082323).

Subtracting 11214041112 from its reverse (21114041211), we obtain a palindrome (9900000099).

The spelling of 11214041112 in words is "eleven billion, two hundred fourteen million, forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 467 648 934 1401 1868 2802 3736 4203 5604 8406 11208 12609 16812 25218 33624 37057 37827 50436 74114 75654 100872 111171 148228 151308 222342 296456 302616 333513 444684 667026 889368 1000539 1334052 2001078 2668104 3001617 4002156 6003234 8004312 12006468 17305619 24012936 34611238 51916857 69222476 103833714 138444952 155750571 207667428 311501142 415334856 467251713 623002284 934503426 1246004568 1401755139 1869006852 2803510278 3738013704 5607020556 11214041112