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131051043441 = 32192375367307
BaseRepresentation
bin111101000001101000…
…0000011101001110001
3110112021011122210011200
41322003100003221301
54121343031342231
6140112022401413
712316365326643
oct1720320035161
9415234583150
10131051043441
115063a99667a
1221494890269
13c486874026
1464b2d02893
153620278be6
hex1e83403a71

131051043441 has 144 divisors (see below), whose sum is σ = 212865516864. Its totient is φ = 77579783424.

The previous prime is 131051043439. The next prime is 131051043451. The reversal of 131051043441 is 144340150131.

131051043441 is a `hidden beast` number, since 1 + 310 + 5 + 1 + 0 + 4 + 344 + 1 = 666.

It is not a de Polignac number, because 131051043441 - 21 = 131051043439 is a prime.

It is a super-3 number, since 3×1310510434413 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131051043401) 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, 426876210 + ... + 426876516.

It is an arithmetic number, because the mean of its divisors is an integer number (1478232756).

Almost surely, 2131051043441 is an apocalyptic number.

It is an amenable number.

131051043441 is a deficient number, since it is larger than the sum of its proper divisors (81814473423).

131051043441 is a wasteful number, since it uses less digits than its factorization.

131051043441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131051043441 its reverse (144340150131), we get a palindrome (275391193572).

The spelling of 131051043441 in words is "one hundred thirty-one billion, fifty-one million, forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 19 37 53 57 67 111 159 171 201 307 333 361 477 603 703 921 1007 1083 1273 1961 2109 2479 2763 3021 3249 3551 3819 5833 5883 6327 7437 9063 10653 11359 11457 13357 16271 17499 17649 19133 20569 22311 24187 31959 34077 37259 40071 47101 48813 52497 57399 61707 67469 72561 102231 110827 111777 120213 131387 141303 146439 172197 185121 202407 215821 217683 309149 332481 335331 390811 394161 423909 602027 607221 647463 707921 761053 894919 927447 997443 1090157 1172433 1182483 1281911 1806081 1942389 2123763 2283159 2496353 2684757 2782341 3270471 3517299 3845733 4100599 5418243 5873831 6371289 6849477 7425409 7489059 8054271 9811413 11438513 11537199 12301797 14460007 17621493 20712983 22276227 22467177 34315539 36905391 40335809 43380021 47430707 52864479 62138949 66828681 102946617 121007427 130140063 142292121 186416847 217331747 274740133 363022281 393546677 426876363 651995241 766380371 824220399 1180640031 1955985723 2299141113 2472661197 3541920093 6897423339 14561227049 43683681147 131051043441