Search a number
-
+
131223124343340 = 22355157171978617
BaseRepresentation
bin11101110101100011000011…
…101101100111101000101100
3122012121210211011020202100000
4131311203003231213220230
5114144424424312441330
61143031023205304300
736432362231115231
oct3565430355475054
9565553734222300
10131223124343340
11388a2461791777
1212873b06a05090
13582b397916b93
142459339901788
151028634456560
hex7758c3b67a2c

131223124343340 has 144 divisors (see below), whose sum is σ = 415415039693472. Its totient is φ = 34769948668416.

The previous prime is 131223124343323. The next prime is 131223124343341. The reversal of 131223124343340 is 43343421322131.

131223124343340 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 31 + 243 + 43 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131223124343295 and 131223124343304.

It is not an unprimeable number, because it can be changed into a prime (131223124343341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85226289 + ... + 86752328.

It is an arithmetic number, because the mean of its divisors is an integer number (2884826664538).

Almost surely, 2131223124343340 is an apocalyptic number.

131223124343340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223124343340 is an abundant number, since it is smaller than the sum of its proper divisors (284191915350132).

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

131223124343340 is a wasteful number, since it uses less digits than its factorization.

131223124343340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171978798 (or 171978784 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131223124343340 its reverse (43343421322131), we get a palindrome (174566545665471).

The spelling of 131223124343340 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, one hundred twenty-four million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 243 270 314 324 405 471 486 540 628 785 810 942 972 1215 1413 1570 1620 1884 2355 2430 2826 3140 4239 4710 4860 5652 7065 8478 9420 12717 14130 16956 21195 25434 28260 38151 42390 50868 63585 76302 84780 127170 152604 190755 254340 381510 763020 171978617 343957234 515935851 687914468 859893085 1031871702 1547807553 1719786170 2063743404 2579679255 3095615106 3439572340 4643422659 5159358510 6191230212 7739037765 9286845318 10318717020 13930267977 15478075530 18573690636 23217113295 27000642869 27860535954 30956151060 41790803931 46434226590 54001285738 55721071908 69651339885 81001928607 83581607862 92868453180 108002571476 135003214345 139302679770 162003857214 167163215724 208954019655 243005785821 270006428690 278605359540 324007714428 405009643035 417908039310 486011571642 540012857380 729017357463 810019286070 835816078620 972023143284 1215028929105 1458034714926 1620038572140 2187052072389 2430057858210 2916069429852 3645086787315 4374104144778 4860115716420 6561156217167 7290173574630 8748208289556 10935260361945 13122312434334 14580347149260 21870520723890 26244624868668 32805781085835 43741041447780 65611562171670 131223124343340