Search a number
-
+
113231100 = 22352371012
BaseRepresentation
bin1101011111111…
…00010011111100
321220001201212110
412233330103330
5212441343400
615122534020
72543306553
oct657742374
9256051773
10113231100
1158a09224
1231b07310
131a5c6c68
1411076d9a
159e19e50
hex6bfc4fc

113231100 has 108 divisors (see below), whose sum is σ = 339834152. Its totient is φ = 29088000.

The previous prime is 113231081. The next prime is 113231119. The reversal of 113231100 is 1132311.

It is an interprime number because it is at equal distance from previous prime (113231081) and next prime (113231119).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1121050 + ... + 1121150.

Almost surely, 2113231100 is an apocalyptic number.

113231100 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 113231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917076).

113231100 is an abundant number, since it is smaller than the sum of its proper divisors (226603052).

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

113231100 is a wasteful number, since it uses less digits than its factorization.

113231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113231100 is about 10641.0102903813. The cubic root of 113231100 is about 483.7881674377.

Adding to 113231100 its reverse (1132311), we get a palindrome (114363411).

Multiplying 113231100 by its reverse (1132311), we get a square (128212820072100 = 113231102).

113231100 divided by its reverse (1132311) gives a square (100 = 102).

The spelling of 113231100 in words is "one hundred thirteen million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 101 111 148 150 185 202 222 300 303 370 404 444 505 555 606 740 925 1010 1110 1212 1515 1850 2020 2220 2525 2775 3030 3700 3737 5050 5550 6060 7474 7575 10100 10201 11100 11211 14948 15150 18685 20402 22422 30300 30603 37370 40804 44844 51005 56055 61206 74740 93425 102010 112110 122412 153015 186850 204020 224220 255025 280275 306030 373700 377437 510050 560550 612060 754874 765075 1020100 1121100 1132311 1509748 1530150 1887185 2264622 3060300 3774370 4529244 5661555 7548740 9435925 11323110 18871850 22646220 28307775 37743700 56615550 113231100