Search a number
-
+
112332402 = 232721397101
BaseRepresentation
bin1101011001000…
…00111001110010
321211101002002100
412230200321302
5212224114102
615051401230
72532544500
oct654407162
9254332070
10112332402
1158454aa6
1231753216
131a370ba0
1410cc1670
159cdda1c
hex6b20e72

112332402 has 144 divisors (see below), whose sum is σ = 311095512. Its totient is φ = 29030400.

The previous prime is 112332377. The next prime is 112332403. The reversal of 112332402 is 204233211.

It can be written as a sum of positive squares in 4 ways, for example, as 101183481 + 11148921 = 10059^2 + 3339^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112332403) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1112152 + ... + 1112252.

Almost surely, 2112332402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112332402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155547756).

112332402 is an abundant number, since it is smaller than the sum of its proper divisors (198763110).

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

112332402 is a wasteful number, since it uses less digits than its factorization.

112332402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112332402 is about 10598.6981276004. The cubic root of 112332402 is about 482.5048485826.

Adding to 112332402 its reverse (204233211), we get a palindrome (316565613).

The spelling of 112332402 in words is "one hundred twelve million, three hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 97 98 101 117 126 147 182 194 202 234 273 291 294 303 441 546 582 606 637 679 707 819 873 882 909 1261 1274 1313 1358 1414 1638 1746 1818 1911 2037 2121 2522 2626 3783 3822 3939 4074 4242 4753 4949 5733 6111 6363 7566 7878 8827 9191 9506 9797 9898 11349 11466 11817 12222 12726 14259 14847 17654 18382 19594 22698 23634 26481 27573 28518 29391 29694 42777 44541 52962 55146 58782 61789 64337 68579 79443 82719 85554 88173 89082 123578 127361 128674 137158 158886 165438 176346 185367 193011 205737 254722 370734 382083 386022 411474 480053 556101 579033 617211 764166 891527 960106 1112202 1146249 1158066 1234422 1440159 1783054 2292498 2674581 2880318 4320477 5349162 6240689 8023743 8640954 12481378 16047486 18722067 37444134 56166201 112332402