Search a number
-
+
11123101120 = 26561569831
BaseRepresentation
bin10100101101111110…
…10000110111000000
31001201012002002020011
422112333100313000
5140240003213440
65035422354304
7542432541145
oct122677206700
931635062204
1011123101120
11479877855a
1221a512b994
131083598c51
147773963cc
154517a89ea
hex296fd0dc0

11123101120 has 56 divisors (see below), whose sum is σ = 26921143008. Its totient is φ = 4376294400.

The previous prime is 11123101117. The next prime is 11123101123. The reversal of 11123101120 is 2110132111.

It is a happy number.

11123101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11123101117) and next prime (11123101123).

It is a self number, because there is not a number n which added to its sum of digits gives 11123101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123101123) 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, 265396 + ... + 304435.

Almost surely, 211123101120 is an apocalyptic number.

11123101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123101120 is an abundant number, since it is smaller than the sum of its proper divisors (15798041888).

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

11123101120 is an equidigital number, since it uses as much as digits as its factorization.

11123101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569909 (or 569899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11123101120 its reverse (2110132111), we get a palindrome (13233233231).

The spelling of 11123101120 in words is "eleven billion, one hundred twenty-three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 19520 569831 1139662 2279324 2849155 4558648 5698310 9117296 11396620 18234592 22793240 34759691 36469184 45586480 69519382 91172960 139038764 173798455 182345920 278077528 347596910 556155056 695193820 1112310112 1390387640 2224620224 2780775280 5561550560 11123101120