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131221240032411 = 322341672231034833
BaseRepresentation
bin11101110101100001010011…
…011001100010110010011011
3122012121121221211120211200100
4131311201103121202302123
5114144412044422014121
61143030112214110443
736432264440541324
oct3565412331426233
9565547854524610
10131221240032411
11388a1685082011
121287367b94b423
13582b1574174b9
1424591db55d44b
151028573ce7026
hex775853662c9b

131221240032411 has 96 divisors (see below), whose sum is σ = 206552998858752. Its totient is φ = 80057252689920.

The previous prime is 131221240032397. The next prime is 131221240032413. The reversal of 131221240032411 is 114230042122131.

131221240032411 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 1 + 240 + 0 + 3 + 2 + 411 = 666.

It is not a de Polignac number, because 131221240032411 - 29 = 131221240031899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131221240032413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126286851 + ... + 127321683.

It is an arithmetic number, because the mean of its divisors is an integer number (2151593738112).

Almost surely, 2131221240032411 is an apocalyptic number.

131221240032411 is a deficient number, since it is larger than the sum of its proper divisors (75331758826341).

131221240032411 is a wasteful number, since it uses less digits than its factorization.

131221240032411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035193 (or 1035190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131221240032411 its reverse (114230042122131), we get a palindrome (245451282154542).

The spelling of 131221240032411 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred forty million, thirty-two thousand, four hundred eleven".

Divisors: 1 3 9 23 41 67 69 123 201 207 223 369 603 669 943 1541 2007 2747 2829 4623 5129 8241 8487 9143 13869 14941 15387 24723 27429 44823 46161 63181 82287 134469 189543 210289 343643 568629 612581 630867 1030929 1034833 1837743 1892601 3092787 3104499 5513229 9313497 14089363 23801159 42268089 42428153 69333811 71403477 126804267 127284459 208001433 214210431 230767759 381853377 624004299 692303277 975847519 1594677653 2076909831 2842686251 2927542557 4784032959 5307658457 8528058753 8782627671 9461478119 14352098877 15461439853 15922975371 25584176259 28384434357 46384319559 47768926113 65381783773 85153303071 139152958677 196145351319 217613996737 355613116619 588436053957 633919033973 652841990211 1066839349857 1901757101919 1958525970633 3200518049571 5705271305757 14580137781379 43740413344137 131221240032411