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131342200323003 = 3437972414634049
BaseRepresentation
bin11101110111010001111101…
…001100011011101110111011
3122020001012011202201021020000
4131313101331030123232323
5114203402311240314003
61143201435053004043
736444106110206625
oct3567217514335673
9566035152637200
10131342200323003
1138938a06aa871a
1212892bb9183623
135839693547547
142460dd4237c15
15102b7a32381a3
hex77747d31bbbb

131342200323003 has 160 divisors (see below), whose sum is σ = 204919558905600. Its totient is φ = 83764734197760.

The previous prime is 131342200322989. The next prime is 131342200323007. The reversal of 131342200323003 is 300323002243131.

131342200323003 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 422 + 0 + 0 + 3 + 230 + 0 + 3 = 666.

It is not a de Polignac number, because 131342200323003 - 218 = 131342200060859 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131342200323007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32438180323 + ... + 32438184371.

It is an arithmetic number, because the mean of its divisors is an integer number (1280747243160).

Almost surely, 2131342200323003 is an apocalyptic number.

131342200323003 is a deficient number, since it is larger than the sum of its proper divisors (73577358582597).

131342200323003 is a wasteful number, since it uses less digits than its factorization.

131342200323003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 131342200323003 its reverse (300323002243131), we get a palindrome (431665202566134).

The spelling of 131342200323003 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred million, three hundred twenty-three thousand, three".

Divisors: 1 3 9 27 37 81 97 111 241 291 333 463 723 873 999 1389 2169 2619 2997 3589 4049 4167 6507 7857 8917 10767 12147 12501 17131 19521 23377 26751 32301 36441 37503 44911 51393 70131 80253 96903 109323 111583 134733 149813 154179 210393 240759 290709 327969 334749 392753 404199 449439 462537 631179 722277 864949 975809 1004247 1178259 1212597 1348317 1387611 1661707 1874687 1893537 2594847 2927427 3012741 3534777 3637791 4044951 4128571 4985121 5624061 7784541 8782281 9038223 10604331 10823551 12134853 12385713 14531861 14955363 16872183 23353623 26346843 31812993 32470653 36104933 37157139 43595583 44866089 50616549 69363419 70060869 79040529 94653473 97411959 108314799 111471417 130786749 134598267 151849647 181844639 208090257 283960419 292235877 324944397 334414251 392360247 400471387 451799567 545533917 624270771 851881257 876707631 974833191 1177080741 1201414161 1355398701 1636601751 1872812313 2555643771 2924499573 3502178501 3604242483 4066196103 4909805253 5618436939 6728251643 7666931313 10506535503 10812727449 12198588309 14729415759 16716583979 20184754929 31519606509 32438182347 36595764927 43824557999 50149751937 60554264787 94558819527 131473673997 150449255811 181662794361 283676458581 394421021991 451347767433 544988383083 1183263065973 1354043302299 1621508645963 3549789197919 4864525937889 14593577813667 43780733441001 131342200323003