Search a number
-
+
113130300 = 22352439859
BaseRepresentation
bin1101011111000…
…11101100111100
321212212121121010
412233203230330
5212430132200
615120435220
72542406643
oct657435474
9255777533
10113130300
115894a518
1231a78b10
131a59010a
141104c35a
159dea150
hex6be3b3c

113130300 has 72 divisors (see below), whose sum is σ = 328451200. Its totient is φ = 30064320.

The previous prime is 113130299. The next prime is 113130323. The reversal of 113130300 is 3031311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 131271 + ... + 132129.

Almost surely, 2113130300 is an apocalyptic number.

113130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164225600).

113130300 is an abundant number, since it is smaller than the sum of its proper divisors (215320900).

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

113130300 is a wasteful number, since it uses less digits than its factorization.

113130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 113130300 is about 10636.2728434353. The cubic root of 113130300 is about 483.6445663566.

Adding to 113130300 its reverse (3031311), we get a palindrome (116161611).

The spelling of 113130300 in words is "one hundred thirteen million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 859 878 1317 1718 1756 2195 2577 2634 3436 4295 4390 5154 5268 6585 8590 8780 10308 10975 12885 13170 17180 21475 21950 25770 26340 32925 42950 43900 51540 64425 65850 85900 128850 131700 257700 377101 754202 1131303 1508404 1885505 2262606 3771010 4525212 5656515 7542020 9427525 11313030 18855050 22626060 28282575 37710100 56565150 113130300