Search a number
-
+
113333312 = 2689101197
BaseRepresentation
bin1101100000101…
…01010001000000
321220020221002002
412300111101000
5213003131222
615125043132
72544213551
oct660252100
9256227062
10113333312
1158a78aa4
1231b564a8
131a631641
14110a2328
159e3a392
hex6c15440

113333312 has 56 divisors (see below), whose sum is σ = 230840280. Its totient is φ = 55193600.

The previous prime is 113333291. The next prime is 113333317. The reversal of 113333312 is 213333311.

It can be written as a sum of positive squares in 4 ways, for example, as 62980096 + 50353216 = 7936^2 + 7096^2 .

It is not an unprimeable number, because it can be changed into a prime (113333317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575198 + ... + 575394.

Almost surely, 2113333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115420140).

113333312 is an abundant number, since it is smaller than the sum of its proper divisors (117506968).

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

113333312 is a wasteful number, since it uses less digits than its factorization.

113333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its digits is 486, while the sum is 20.

The square root of 113333312 is about 10645.8119464886. The cubic root of 113333312 is about 483.9336930771.

Adding to 113333312 its reverse (213333311), we get a palindrome (326666623).

Subtracting 113333312 from its reverse (213333311), we obtain a palindrome (99999999).

The spelling of 113333312 in words is "one hundred thirteen million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 101 178 197 202 356 394 404 712 788 808 1424 1576 1616 2848 3152 3232 5696 6304 6464 8989 12608 17533 17978 19897 35066 35956 39794 70132 71912 79588 140264 143824 159176 280528 287648 318352 561056 575296 636704 1122112 1273408 1770833 3541666 7083332 14166664 28333328 56666656 113333312