Search a number
-
+
11323321231120 = 245174149812761
BaseRepresentation
bin1010010011000110101010…
…0010100010011100010000
31111002111110201120222220021
42210301222202202130100
52441010130213343440
640025510103353224
72246040312252313
oct244615242423420
944074421528807
1011323321231120
113676214700338
12132a651452814
13641a27a344b2
142b20a1b0497a
1514982b47c84a
hexa4c6a8a2710

11323321231120 has 40 divisors (see below), whose sum is σ = 26326905427800. Its totient is φ = 4529296911360.

The previous prime is 11323321231111. The next prime is 11323321231163. The reversal of 11323321231120 is 2113212332311.

It can be written as a sum of positive squares in 4 ways, for example, as 1382063574544 + 9941257656576 = 1175612^2 + 3152976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 13525540 + ... + 14338300.

It is an arithmetic number, because the mean of its divisors is an integer number (658172635695).

Almost surely, 211323321231120 is an apocalyptic number.

11323321231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11323321231120 is an abundant number, since it is smaller than the sum of its proper divisors (15003584196680).

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

11323321231120 is a wasteful number, since it uses less digits than its factorization.

11323321231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986923 (or 986917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11323321231120 its reverse (2113212332311), we get a palindrome (13436533563431).

The spelling of 11323321231120 in words is "eleven trillion, three hundred twenty-three billion, three hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 174149 348298 696596 812761 870745 1393192 1625522 1741490 2786384 3251044 3482980 4063805 6502088 6965960 8127610 13004176 13931920 16255220 32510440 65020880 141541515389 283083030778 566166061556 707707576945 1132332123112 1415415153890 2264664246224 2830830307780 5661660615560 11323321231120