Search a number
-
+
11313223120 = 245532668213
BaseRepresentation
bin10101000100101001…
…00001010111010000
31002012102211021120201
422202110201113100
5141132141114440
65110333344544
7550231544533
oct124224412720
932172737521
1011313223120
114886023a81
122238938154
1310b3aa5084
14794726a1a
1546331119a
hex2a25215d0

11313223120 has 40 divisors (see below), whose sum is σ = 26799541416. Its totient is φ = 4439904768.

The previous prime is 11313223093. The next prime is 11313223133. The reversal of 11313223120 is 2132231311.

It can be written as a sum of positive squares in 4 ways, for example, as 528816016 + 10784407104 = 22996^2 + 103848^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 1329867 + ... + 1338346.

Almost surely, 211313223120 is an apocalyptic number.

11313223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313223120 is an abundant number, since it is smaller than the sum of its proper divisors (15486318296).

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

11313223120 is a wasteful number, since it uses less digits than its factorization.

11313223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668279 (or 2668273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11313223120 its reverse (2132231311), we get a palindrome (13445454431).

The spelling of 11313223120 in words is "eleven billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 2668213 5336426 10672852 13341065 21345704 26682130 42691408 53364260 106728520 141415289 213457040 282830578 565661156 707076445 1131322312 1414152890 2262644624 2828305780 5656611560 11313223120