Search a number
-
+
112133010 = 235111033299
BaseRepresentation
bin1101010111100…
…00001110010010
321210222221120110
412223300032102
5212201224020
615043222150
72531054253
oct653601622
9253887513
10112133010
1158329210
1231677956
131a3011c2
1410c6cb2a
159c9e8e0
hex6af0392

112133010 has 64 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 26911680.

The previous prime is 112132997. The next prime is 112133029. The reversal of 112133010 is 10331211.

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 31 ways as a sum of consecutive naturals, for example, 32341 + ... + 35639.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 2112133010 is an apocalyptic number.

112133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

112133010 is an abundant number, since it is smaller than the sum of its proper divisors (184391790).

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

112133010 is a wasteful number, since it uses less digits than its factorization.

112133010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423.

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

The square root of 112133010 is about 10589.2875114429. The cubic root of 112133010 is about 482.2191946227.

Adding to 112133010 its reverse (10331211), we get a palindrome (122464221).

The spelling of 112133010 in words is "one hundred twelve million, one hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 206 309 330 515 618 1030 1133 1545 2266 3090 3299 3399 5665 6598 6798 9897 11330 16495 16995 19794 32990 33990 36289 49485 72578 98970 108867 181445 217734 339797 362890 544335 679594 1019391 1088670 1698985 2038782 3397970 3737767 5096955 7475534 10193910 11213301 18688835 22426602 37377670 56066505 112133010