Search a number
-
+
113144334030 = 23457131534993
BaseRepresentation
bin110100101011111101…
…1011000011011001110
3101211001020000200210000
41221113323120123032
53323204422142110
6123551111425130
711113551654030
oct1512773303316
9354036020700
10113144334030
1143a91032882
1219b179851a6
13a891a783a0
145694a3bc50
152e2319c1c0
hex1a57ed86ce

113144334030 has 160 divisors (see below), whose sum is σ = 374440296384. Its totient is φ = 23872195584.

The previous prime is 113144334029. The next prime is 113144334041. The reversal of 113144334030 is 30433441311.

113144334030 is a `hidden beast` number, since 1 + 1 + 314 + 4 + 3 + 340 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113144333985 and 113144334003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 693787 + ... + 841206.

Almost surely, 2113144334030 is an apocalyptic number.

113144334030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113144334030 is an abundant number, since it is smaller than the sum of its proper divisors (261295962354).

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

113144334030 is a wasteful number, since it uses less digits than its factorization.

113144334030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535032 (or 1535023 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 113144334030 its reverse (30433441311), we get a palindrome (143577775341).

The spelling of 113144334030 in words is "one hundred thirteen billion, one hundred forty-four million, three hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 2106 2457 2730 2835 3510 4095 4914 5265 5670 7371 8190 10530 12285 14742 24570 36855 73710 1534993 3069986 4604979 7674965 9209958 10744951 13814937 15349930 19954909 21489902 23024895 27629874 32234853 39909818 41444811 46049790 53724755 59864727 64469706 69074685 82889622 96704559 99774545 107449510 119729454 124334433 138149370 139684363 161174265 179594181 193409118 199549090 207224055 248668866 279368726 290113677 299323635 322348530 359188362 414448110 419053089 483522795 538782543 580227354 598647270 621672165 698421815 838106178 870341031 897970905 967045590 1077565086 1243344330 1257159267 1396843630 1450568385 1616347629 1740682062 1795941810 2095265445 2514318534 2693912715 2901136770 3232695258 3771477801 4190530890 4351705155 5387825430 6285796335 7542955602 8081738145 8703410310 11314433403 12571592670 16163476290 18857389005 22628866806 37714778010 56572167015 113144334030