Search a number
-
+
112313322 = 232111761547
BaseRepresentation
bin1101011000111…
…00001111101010
321211100002220200
412230130033222
5212223011242
615051133030
72532435042
oct654341752
9254302820
10112313322
1158441730
1231744176
131a3652b4
1410cb8722
159cd804c
hex6b1c3ea

112313322 has 96 divisors (see below), whose sum is σ = 286213824. Its totient is φ = 31449600.

The previous prime is 112313303. The next prime is 112313323. The reversal of 112313322 is 223313211.

It is a super-2 number, since 2×1123133222 = 25228564597351368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112313295 and 112313304.

It is not an unprimeable number, because it can be changed into a prime (112313323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205053 + ... + 205599.

It is an arithmetic number, because the mean of its divisors is an integer number (2981394).

Almost surely, 2112313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143106912).

112313322 is an abundant number, since it is smaller than the sum of its proper divisors (173900502).

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

112313322 is a wasteful number, since it uses less digits than its factorization.

112313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 112313322 is about 10597.7979788256. The cubic root of 112313322 is about 482.4775287306.

Adding to 112313322 its reverse (223313211), we get a palindrome (335626533).

The spelling of 112313322 in words is "one hundred twelve million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 61 66 99 102 122 153 183 187 198 306 366 374 547 549 561 671 1037 1094 1098 1122 1342 1641 1683 2013 2074 3111 3282 3366 4026 4923 6017 6039 6222 9299 9333 9846 11407 12034 12078 18051 18598 18666 22814 27897 33367 34221 36102 54153 55794 66734 68442 83691 100101 102289 102663 108306 167382 200202 204578 205326 300303 306867 367037 567239 600606 613734 734074 920601 1101111 1134478 1701717 1841202 2202222 3303333 3403434 5105151 6239629 6606666 10210302 12479258 18718887 37437774 56156661 112313322