Search a number
-
+
112012131330 = 232511690716381
BaseRepresentation
bin110100001010001110…
…0010111110000000010
3101201010022120211122200
41220110130113300002
53313400101200310
6123242504414030
711043523256361
oct1502434276002
9351108524580
10112012131330
114355aa23170
1219860777316
13a741330c68
1455c85197d8
152da8aa49c0
hex1a14717c02

112012131330 has 96 divisors (see below), whose sum is σ = 317772531648. Its totient is φ = 27148867200.

The previous prime is 112012131311. The next prime is 112012131347. The reversal of 112012131330 is 33131210211.

112012131330 is a `hidden beast` number, since 1 + 1 + 201 + 2 + 131 + 330 = 666.

112012131330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6829740 + ... + 6846120.

It is an arithmetic number, because the mean of its divisors is an integer number (3310130538).

Almost surely, 2112012131330 is an apocalyptic number.

112012131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112012131330 is an abundant number, since it is smaller than the sum of its proper divisors (205760400318).

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

112012131330 is a wasteful number, since it uses less digits than its factorization.

112012131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112012131330 its reverse (33131210211), we get a palindrome (145143341541).

It can be divided in two parts, 112012 and 131330, that added together give a palindrome (243342).

The spelling of 112012131330 in words is "one hundred twelve billion, twelve million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 6907 13814 16381 20721 32762 34535 41442 49143 62163 69070 75977 81905 98286 103605 124326 147429 151954 163810 180191 207210 227931 245715 294858 310815 360382 379885 455862 491430 540573 621630 683793 737145 759770 900955 1081146 1139655 1367586 1474290 1621719 1801910 2279310 2702865 3243438 3418965 5405730 6837930 8108595 16217190 113143567 226287134 339430701 565717835 678861402 1018292103 1131435670 1244579237 1697153505 2036584206 2489158474 3394307010 3733737711 5091460515 6222896185 7467475422 10182921030 11201213133 12445792370 18668688555 22402426266 37337377110 56006065665 112012131330