Search a number
-
+
112132332 = 2232133159131
BaseRepresentation
bin1101010111100…
…00000011101100
321210222220122100
412223300003230
5212201213312
615043215100
72531052264
oct653600354
9253886570
10112132332
1158328754
1231677490
131a300ac0
1410c6c7a4
159c9e5dc
hex6af00ec

112132332 has 144 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 32572800.

The previous prime is 112132331. The next prime is 112132351. The reversal of 112132332 is 233231211.

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 not an unprimeable number, because it can be changed into a prime (112132331) 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 47 ways as a sum of consecutive naturals, for example, 855907 + ... + 856037.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2112132332 is an apocalyptic number.

112132332 is a gapful number since it is divisible by the number (12) 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 112132332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

112132332 is an abundant number, since it is smaller than the sum of its proper divisors (210750228).

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

112132332 is a wasteful number, since it uses less digits than its factorization.

112132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

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

The square root of 112132332 is about 10589.2554979092. The cubic root of 112132332 is about 482.2182227255.

Adding to 112132332 its reverse (233231211), we get a palindrome (345363543).

The spelling of 112132332 in words is "one hundred twelve million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 59 62 78 93 117 118 124 131 156 177 186 234 236 262 279 354 372 393 403 468 524 531 558 708 767 786 806 1062 1116 1179 1209 1534 1572 1612 1703 1829 2124 2301 2358 2418 3068 3406 3627 3658 4061 4602 4716 4836 5109 5487 6812 6903 7254 7316 7729 8122 9204 10218 10974 12183 13806 14508 15327 15458 16244 16461 20436 21948 23187 23777 24366 27612 30654 30916 32922 36549 46374 47554 48732 52793 61308 65844 69561 71331 73098 92748 95108 100477 105586 139122 142662 146196 158379 200954 211172 213993 239599 278244 285324 301431 316758 401908 427986 475137 479198 602862 633516 718797 855972 904293 950274 958396 1205724 1437594 1808586 1900548 2156391 2875188 3114787 3617172 4312782 6229574 8625564 9344361 12459148 18688722 28033083 37377444 56066166 112132332