Search a number
-
+
1100112112 = 241159105943
BaseRepresentation
bin100000110010010…
…0110000011110000
32211200001111010001
41001210212003300
54223112041422
6301055115344
736155540641
oct10144460360
92750044101
101100112112
11514a91570
12268512b54
13146bbca18
14a616b6c8
15668a9227
hex419260f0

1100112112 has 40 divisors (see below), whose sum is σ = 2364670080. Its totient is φ = 491570880.

The previous prime is 1100112037. The next prime is 1100112121. The reversal of 1100112112 is 2112110011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42588 + ... + 63355.

It is an arithmetic number, because the mean of its divisors is an integer number (59116752).

Almost surely, 21100112112 is an apocalyptic number.

It is an amenable number.

1100112112 is an abundant number, since it is smaller than the sum of its proper divisors (1264557968).

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

1100112112 is a wasteful number, since it uses less digits than its factorization.

1100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106021 (or 106015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1100112112 is about 33167.9380124843. The cubic root of 1100112112 is about 1032.3151842614.

Adding to 1100112112 its reverse (2112110011), we get a palindrome (3212222123).

It can be divided in two parts, 110011 and 2112, that multiplied together give a palindrome (232343232).

The spelling of 1100112112 in words is "one billion, one hundred million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1298 2596 5192 10384 105943 211886 423772 847544 1165373 1695088 2330746 4661492 6250637 9322984 12501274 18645968 25002548 50005096 68757007 100010192 137514014 275028028 550056056 1100112112