Search a number
-
+
113231104 = 287179353
BaseRepresentation
bin1101011111111…
…00010100000000
321220001201212121
412233330110000
5212441343404
615122534024
72543306560
oct657742400
9256051777
10113231104
1158a09228
1231b07314
131a5c6c6c
1411076da0
159e19e54
hex6bfc500

113231104 has 72 divisors (see below), whose sum is σ = 260487360. Its totient is φ = 48119808.

The previous prime is 113231081. The next prime is 113231119. The reversal of 113231104 is 401132311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320592 + ... + 320944.

It is an arithmetic number, because the mean of its divisors is an integer number (3617880).

Almost surely, 2113231104 is an apocalyptic number.

113231104 is a gapful number since it is divisible by the number (14) 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 113231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130243680).

113231104 is an abundant number, since it is smaller than the sum of its proper divisors (147256256).

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

113231104 is an equidigital number, since it uses as much as digits as its factorization.

113231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113231104 is about 10641.0104783333. The cubic root of 113231104 is about 483.7881731345.

Adding to 113231104 its reverse (401132311), we get a palindrome (514363415).

The spelling of 113231104 in words is "one hundred thirteen million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 179 224 256 353 358 448 706 716 896 1253 1412 1432 1792 2471 2506 2824 2864 4942 5012 5648 5728 9884 10024 11296 11456 19768 20048 22592 22912 39536 40096 45184 45824 63187 79072 80192 90368 126374 158144 160384 252748 316288 320768 442309 505496 632576 884618 1010992 1769236 2021984 3538472 4043968 7076944 8087936 14153888 16175872 28307776 56615552 113231104