Search a number
-
+
1112001100 = 225272229991
BaseRepresentation
bin100001001000111…
…1100101001001100
32212111102111201221
41002101330221030
54234133013400
6302202013124
736361565500
oct10221745114
92774374657
101112001100
11520771981
122704a71a4
131494c3322
14a7984300
1567956c1a
hex4247ca4c

1112001100 has 108 divisors (see below), whose sum is σ = 2822111040. Its totient is φ = 379209600.

The previous prime is 1112001097. The next prime is 1112001103. The reversal of 1112001100 is 11002111.

It is an interprime number because it is at equal distance from previous prime (1112001097) and next prime (1112001103).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1112001103) 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 35 ways as a sum of consecutive naturals, for example, 1121605 + ... + 1122595.

Almost surely, 21112001100 is an apocalyptic number.

1112001100 is a gapful number since it is divisible by the number (10) 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 1112001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411055520).

1112001100 is an abundant number, since it is smaller than the sum of its proper divisors (1710109940).

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

1112001100 is a wasteful number, since it uses less digits than its factorization.

1112001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1112001100 is about 33346.6804944660. The cubic root of 1112001100 is about 1036.0206350894.

Adding to 1112001100 its reverse (11002111), we get a palindrome (1123003211).

The spelling of 1112001100 in words is "one billion, one hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 229 245 350 458 490 700 916 980 991 1145 1225 1603 1982 2290 2450 3206 3964 4580 4900 4955 5725 6412 6937 8015 9910 11221 11450 13874 16030 19820 22442 22900 24775 27748 32060 34685 40075 44884 48559 49550 56105 69370 80150 97118 99100 112210 138740 160300 173425 194236 224420 226939 242795 280525 346850 453878 485590 561050 693700 907756 971180 1122100 1134695 1213975 1588573 2269390 2427950 3177146 4538780 4855900 5673475 6354292 7942865 11120011 11346950 15885730 22240022 22693900 31771460 39714325 44480044 55600055 79428650 111200110 158857300 222400220 278000275 556000550 1112001100