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131042034000220 = 22572348259843289
BaseRepresentation
bin11101110010111010011001…
…111000110010000101011100
3122011222111101122211011111211
4131302322121320302011130
5114133443041201001340
61142411513534554204
736413321522442220
oct3562723170620534
9564874348734454
10131042034000220
1138832683a30682
12128449a8068964
1358172981232b5
14245067ad9c780
151023a861735ea
hex772e99e3215c

131042034000220 has 96 divisors (see below), whose sum is σ = 328182022425600. Its totient is φ = 42974334273024.

The previous prime is 131042034000173. The next prime is 131042034000221. The reversal of 131042034000220 is 22000430240131.

It is a junction number, because it is equal to n+sod(n) for n = 131042034000191 and 131042034000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042034000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154972336 + ... + 155815624.

It is an arithmetic number, because the mean of its divisors is an integer number (3418562733600).

Almost surely, 2131042034000220 is an apocalyptic number.

131042034000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131042034000220 is an abundant number, since it is smaller than the sum of its proper divisors (197139988425380).

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

131042034000220 is a wasteful number, since it uses less digits than its factorization.

131042034000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891587 (or 891585 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131042034000220 its reverse (22000430240131), we get a palindrome (153042464240351).

The spelling of 131042034000220 in words is "one hundred thirty-one trillion, forty-two billion, thirty-four million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 48259 96518 193036 241295 337813 482590 675626 843289 965180 1109957 1351252 1686578 1689065 2219914 3373156 3378130 4216445 4439828 5549785 5903023 6756260 7769699 8432890 11099570 11806046 15539398 16865780 19395647 22199140 23612092 29515115 31078796 38791294 38848495 59030230 77582588 77696990 96978235 118060460 135769529 155393980 193956470 271539058 387912940 543078116 678847645 1357695290 2715390580 40696283851 81392567702 162785135404 203481419255 284873986957 406962838510 569747973914 813925677020 936014528573 1139495947828 1424369934785 1872029057146 2848739869570 3744058114292 4680072642865 5697479739140 6552101700011 9360145285730 13104203400022 18720290571460 26208406800044 32760508500055 65521017000110 131042034000220