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131141242244341 = 7192298926974747
BaseRepresentation
bin11101110100010110110011…
…001010001100110011110101
3122012022222110122122010212201
4131310112303022030303311
5114142104231003304331
61142525242135544501
736423433143551440
oct3564266312146365
9565288418563781
10131141242244341
113887076344687a
121286007482b131
1358237488a8424
1424553acbdc657
151026440b13a61
hex7745b328ccf5

131141242244341 has 96 divisors (see below), whose sum is σ = 166089458016000. Its totient is φ = 101283992054784.

The previous prime is 131141242244329. The next prime is 131141242244351. The reversal of 131141242244341 is 143442242141131.

It is not a de Polignac number, because 131141242244341 - 229 = 131140705373429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131141242244341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141242244351) 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, 1754430930 + ... + 1754505676.

It is an arithmetic number, because the mean of its divisors is an integer number (1730098521000).

Almost surely, 2131141242244341 is an apocalyptic number.

It is an amenable number.

131141242244341 is a deficient number, since it is larger than the sum of its proper divisors (34948215771659).

131141242244341 is a wasteful number, since it uses less digits than its factorization.

131141242244341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75179 (or 75160 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

Adding to 131141242244341 its reverse (143442242141131), we get a palindrome (274583484385472).

The spelling of 131141242244341 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred forty-two million, two hundred forty-four thousand, three hundred forty-one".

Divisors: 1 7 19 29 89 133 203 269 361 551 623 1691 1883 2527 2581 3857 5111 7801 10469 11837 18067 23941 32129 35777 49039 54607 73283 74747 97109 148219 167587 224903 343273 454879 523229 679763 694289 931741 1037533 1420193 2167663 2816161 3184153 4860023 6522187 6652483 8642701 9941351 13191491 15173641 19713127 20106943 26983667 41185597 46567381 60498907 92340437 126397177 140748601 188885669 192922007 250638329 288299179 382031917 583101347 782526343 884780239 1350454049 1754468303 1789517927 2401546363 2674223419 3665518133 4081709429 5477684401 7258606423 11078925593 12526625489 16810824541 25658626931 34000840613 50810244961 51896019883 69644844527 77552479151 210499586267 238005884291 363272139181 487513911689 646015971647 986024377777 1473497103869 4522111801529 6902170644439 18734463177763 131141242244341