Search a number
-
+
112432122 = 2321137103149
BaseRepresentation
bin1101011001110…
…01001111111010
321211120010212200
412230321033322
5212240311442
615053451030
72533441305
oct654711772
9254503780
10112432122
1158512a10
12317a0a76
131a3a73aa
1410d09b3c
159d0d34c
hex6b393fa

112432122 has 96 divisors (see below), whose sum is σ = 277430400. Its totient is φ = 32607360.

The previous prime is 112432109. The next prime is 112432129. The reversal of 112432122 is 221234211.

It is a happy number.

112432122 is a `hidden beast` number, since 112 + 432 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112432095 and 112432104.

It is not an unprimeable number, because it can be changed into a prime (112432129) 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 47 ways as a sum of consecutive naturals, for example, 754504 + ... + 754652.

It is an arithmetic number, because the mean of its divisors is an integer number (2889900).

Almost surely, 2112432122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138715200).

112432122 is an abundant number, since it is smaller than the sum of its proper divisors (164998278).

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

112432122 is a wasteful number, since it uses less digits than its factorization.

112432122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 112432122 is about 10603.4014353886. The cubic root of 112432122 is about 482.6475831571.

Adding to 112432122 its reverse (221234211), we get a palindrome (333666333).

It can be divided in two parts, 112 and 432122, that added together give a palindrome (432234).

The spelling of 112432122 in words is "one hundred twelve million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 103 111 149 198 206 222 298 309 333 407 447 618 666 814 894 927 1133 1221 1341 1639 1854 2266 2442 2682 3278 3399 3663 3811 4917 5513 6798 7326 7622 9834 10197 11026 11433 14751 15347 16539 20394 22866 29502 30694 33078 34299 41921 46041 49617 60643 68598 83842 92082 99234 121286 125763 138123 168817 181929 251526 276246 337634 363858 377289 506451 545787 567839 754578 1012902 1091574 1135678 1519353 1703517 3038706 3407034 5110551 6246229 10221102 12492458 18738687 37477374 56216061 112432122