Search a number
-
+
11123314120 = 2352377116989
BaseRepresentation
bin10100101110000000…
…00100110111001000
31001201012110220102001
422113000010313020
5140240032022440
65035431120344
7542434416142
oct122700046710
931635426361
1011123314120
114798903596
1221a52130b4
131083641b99
1477740dc92
154517ebb9a
hex297004dc8

11123314120 has 32 divisors (see below), whose sum is σ = 25038199800. Its totient is φ = 4447415808.

The previous prime is 11123314117. The next prime is 11123314121. The reversal of 11123314120 is 2141332111.

It can be written as a sum of positive squares in 4 ways, for example, as 10912309444 + 211004676 = 104462^2 + 14526^2 .

It is not an unprimeable number, because it can be changed into a prime (11123314121) 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 7 ways as a sum of consecutive naturals, for example, 36586 + ... + 153574.

Almost surely, 211123314120 is an apocalyptic number.

11123314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123314120 is an abundant number, since it is smaller than the sum of its proper divisors (13914885680).

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

11123314120 is a wasteful number, since it uses less digits than its factorization.

11123314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119377 (or 119373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11123314120 its reverse (2141332111), we get a palindrome (13264646231).

The spelling of 11123314120 in words is "eleven billion, one hundred twenty-three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2377 4754 9508 11885 19016 23770 47540 95080 116989 233978 467956 584945 935912 1169890 2339780 4679560 278082853 556165706 1112331412 1390414265 2224662824 2780828530 5561657060 11123314120