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131021211143043 = 32134761221130347
BaseRepresentation
bin11101110010100111000000…
…101111111000101110000011
3122011220111122110221102102100
4131302213000233320232003
5114133122420023034133
61142354151412521443
736411653516202624
oct3562470057705603
9564814573842370
10131021211143043
1138824868a79901
1212840956620283
13581532a121a30
14244d6636bba4b
151023268067e13
hex7729c0bf8b83

131021211143043 has 144 divisors (see below), whose sum is σ = 212625282175488. Its totient is φ = 77248874707200.

The previous prime is 131021211143003. The next prime is 131021211143047. The reversal of 131021211143043 is 340341112120131.

131021211143043 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 212 + 1 + 11 + 430 + 4 + 3 = 666.

It is not a de Polignac number, because 131021211143043 - 234 = 131004031273859 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131021211142998 and 131021211143016.

It is not an unprimeable number, because it can be changed into a prime (131021211143047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4317420196 + ... + 4317450542.

It is an arithmetic number, because the mean of its divisors is an integer number (1476564459552).

Almost surely, 2131021211143043 is an apocalyptic number.

131021211143043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131021211143043 is a deficient number, since it is larger than the sum of its proper divisors (81604071032445).

131021211143043 is a wasteful number, since it uses less digits than its factorization.

131021211143043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30746 (or 30682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131021211143043 its reverse (340341112120131), we get a palindrome (471362323263174).

The spelling of 131021211143043 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred eleven million, one hundred forty-three thousand, forty-three".

Divisors: 1 3 9 13 39 47 61 117 141 183 211 423 549 611 633 793 1833 1899 2379 2743 2867 3721 5499 7137 8229 8601 9917 11163 12871 24687 25803 29751 30347 33489 37271 38613 48373 89253 91041 111813 115839 128921 145119 167323 174887 273123 335439 386763 394511 435357 501969 524661 604937 785131 1160289 1183533 1426309 1505907 1573983 1814811 1851167 2273531 2355393 3550599 4278927 5444433 5553501 6403217 6820593 7066179 7864181 10206703 12836781 16660503 18542017 19209651 20461779 23592543 24065171 30620109 36901157 55626051 57628953 70777629 72195513 83241821 87004849 91860327 110703471 112921187 166878153 216586539 249725463 261014547 300951199 332110413 338763561 390596237 479715041 749176389 783043641 902853597 1016290683 1131063037 1171788711 1439145123 1467975431 2708560791 3393189111 3515366133 3912365587 4317435369 4403926293 5077751081 5307295789 10179567333 11737096761 13211778879 15233253243 15921887367 18358023139 23826370457 35211290283 45699759729 47765662101 55074069417 68994845257 71479111371 165222208251 206984535771 214437334113 238654300807 309742815941 620953607313 715962902421 929228447823 1119839411479 2147888707263 2787685343469 3359518234437 10078554703311 14557912349227 43673737047681 131021211143043