Search a number
-
+
113220300 = 22352834547
BaseRepresentation
bin1101011111110…
…01101011001100
321220001012001110
412233321223030
5212441022200
615122412020
72543233224
oct657715314
9256035043
10113220300
1158a010a6
1231b01010
131a5c207b
1411073084
159e16b50
hex6bf9acc

113220300 has 72 divisors (see below), whose sum is σ = 331603776. Its totient is φ = 29821760.

The previous prime is 113220281. The next prime is 113220301. The reversal of 113220300 is 3022311.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (113220301) by changing a digit.

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, 22627 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (4605608).

Almost surely, 2113220300 is an apocalyptic number.

113220300 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 113220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165801888).

113220300 is an abundant number, since it is smaller than the sum of its proper divisors (218383476).

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

113220300 is a wasteful number, since it uses less digits than its factorization.

113220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113220300 is about 10640.5028076684. The cubic root of 113220300 is about 483.7727856850.

Adding to 113220300 its reverse (3022311), we get a palindrome (116242611).

The spelling of 113220300 in words is "one hundred thirteen million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4547 4980 6225 8300 9094 12450 13641 18188 22735 24900 27282 45470 54564 68205 90940 113675 136410 227350 272820 341025 377401 454700 682050 754802 1132203 1364100 1509604 1887005 2264406 3774010 4528812 5661015 7548020 9435025 11322030 18870050 22644060 28305075 37740100 56610150 113220300