Search a number
-
+
131320310112 = 2532597728361
BaseRepresentation
bin111101001001101001…
…1001110100101100000
3110112221221022221121100
41322103103032211200
54122420444410422
6140154441554400
712326145134655
oct1722323164540
9415857287540
10131320310112
1150768989712
122154aaa5a00
13c4ca5a1114
1464da995c2c
153638c167ac
hex1e934ce960

131320310112 has 72 divisors (see below), whose sum is σ = 379771708680. Its totient is φ = 43031508480.

The previous prime is 131320310089. The next prime is 131320310117. The reversal of 131320310112 is 211013023131.

131320310112 is a `hidden beast` number, since 1 + 31 + 320 + 310 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320310117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3847189 + ... + 3881172.

It is an arithmetic number, because the mean of its divisors is an integer number (5274607065).

Almost surely, 2131320310112 is an apocalyptic number.

131320310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131320310112 is an abundant number, since it is smaller than the sum of its proper divisors (248451398568).

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

131320310112 is a wasteful number, since it uses less digits than its factorization.

131320310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728436 (or 7728425 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131320310112 its reverse (211013023131), we get a palindrome (342333333243).

The spelling of 131320310112 in words is "one hundred thirty-one billion, three hundred twenty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 7728361 15456722 23185083 30913444 46370166 61826888 69555249 92740332 123653776 139110498 185480664 247307552 278220996 370961328 455973299 556441992 741922656 911946598 1112883984 1367919897 1823893196 2225767968 2735839794 3647786392 4103759691 5471679588 7295572784 8207519382 10943359176 14591145568 16415038764 21886718352 32830077528 43773436704 65660155056 131320310112