Search a number
-
+
113300000 = 255511103
BaseRepresentation
bin1101100000011…
…01001000100000
321220012020101022
412300031020200
5213001100000
615124225012
72544014462
oct660151040
9256166338
10113300000
1158a55a70
1231b3b168
131a61c428
1411094132
159e30585
hex6c0d220

113300000 has 144 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 40800000.

The previous prime is 113299999. The next prime is 113300003. The reversal of 113300000 is 3311.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099949 + ... + 1100051.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2113300000 is an apocalyptic number.

113300000 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 113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

113300000 is an abundant number, since it is smaller than the sum of its proper divisors (193805344).

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

113300000 is an equidigital number, since it uses as much as digits as its factorization.

113300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 113300000 is about 10644.2472725881. The cubic root of 113300000 is about 483.8862743067.

Adding to 113300000 its reverse (3311), we get a palindrome (113303311).

The spelling of 113300000 in words is "one hundred thirteen million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 103 110 125 160 176 200 206 220 250 275 352 400 412 440 500 515 550 625 800 824 880 1000 1030 1100 1133 1250 1375 1648 1760 2000 2060 2200 2266 2500 2575 2750 3125 3296 4000 4120 4400 4532 5000 5150 5500 5665 6250 6875 8240 8800 9064 10000 10300 11000 11330 12500 12875 13750 16480 18128 20000 20600 22000 22660 25000 25750 27500 28325 34375 36256 41200 44000 45320 50000 51500 55000 56650 64375 68750 82400 90640 100000 103000 110000 113300 128750 137500 141625 181280 206000 220000 226600 257500 275000 283250 321875 412000 453200 515000 550000 566500 643750 708125 906400 1030000 1100000 1133000 1287500 1416250 2060000 2266000 2575000 2832500 3540625 4532000 5150000 5665000 7081250 10300000 11330000 14162500 22660000 28325000 56650000 113300000