Search a number
-
+
13132030002120 = 2333516374596853
BaseRepresentation
bin1011111100011000100111…
…1110111100001111001000
31201111102001202020120022000
42333012021332330033020
53210123344140031440
643532434333431000
72523520642165311
oct277061176741710
951442052216260
1013132030002120
114203298648527
1215810aa33b460
137434642b0223
14335844d59608
1517b8da837730
hexbf189fbc3c8

13132030002120 has 128 divisors (see below), whose sum is σ = 44041982601600. Its totient is φ = 3480390726912.

The previous prime is 13132030002089. The next prime is 13132030002227. The reversal of 13132030002120 is 2120003023131.

13132030002120 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 300 + 0 + 21 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13132030002093 and 13132030002102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37122387 + ... + 37474466.

It is an arithmetic number, because the mean of its divisors is an integer number (344077989075).

Almost surely, 213132030002120 is an apocalyptic number.

13132030002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132030002120 is an abundant number, since it is smaller than the sum of its proper divisors (30909952599480).

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

13132030002120 is a wasteful number, since it uses less digits than its factorization.

13132030002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74597036 (or 74597026 counting only the distinct ones).

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

Adding to 13132030002120 its reverse (2120003023131), we get a palindrome (15252033025251).

The spelling of 13132030002120 in words is "thirteen trillion, one hundred thirty-two billion, thirty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 163 180 216 270 326 360 489 540 652 815 978 1080 1304 1467 1630 1956 2445 2934 3260 3912 4401 4890 5868 6520 7335 8802 9780 11736 14670 17604 19560 22005 29340 35208 44010 58680 88020 176040 74596853 149193706 223790559 298387412 372984265 447581118 596774824 671371677 745968530 895162236 1118952795 1342743354 1491937060 1790324472 2014115031 2237905590 2685486708 2983874120 3356858385 4028230062 4475811180 5370973416 6713716770 8056460124 8951622360 10070575155 12159287039 13427433540 16112920248 20141150310 24318574078 26854867080 36477861117 40282300620 48637148156 60796435195 72955722234 80564601240 97274296312 109433583351 121592870390 145911444468 182389305585 218867166702 243185740780 291822888936 328300750053 364778611170 437734333404 486371481560 547167916755 656601500106 729557222340 875468666808 1094335833510 1313203000212 1459114444680 1641503750265 2188671667020 2626406000424 3283007500530 4377343334040 6566015001060 13132030002120