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131121310551435 = 32529377137128923
BaseRepresentation
bin11101110100000100001111…
…001000110100110110001011
3122012021002000120122020100100
4131310010033020310312023
5114141242421000121220
61142512144250340443
736422126211140541
oct3564041710646613
9565232016566310
10131121310551435
11388632655319a6
121285823172a723
1358218c03c88b9
14245443ba17d91
151025b75d8bd90
hex77410f234d8b

131121310551435 has 48 divisors (see below), whose sum is σ = 228057352889184. Its totient is φ = 69691247963136.

The previous prime is 131121310551397. The next prime is 131121310551503. The reversal of 131121310551435 is 534155013121131.

131121310551435 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 1 + 3 + 105 + 514 + 35 = 666.

It is not a de Polignac number, because 131121310551435 - 217 = 131121310420363 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131121310551435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016986884 + ... + 1017115806.

It is an arithmetic number, because the mean of its divisors is an integer number (4751194851858).

Almost surely, 2131121310551435 is an apocalyptic number.

131121310551435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131121310551435 is a deficient number, since it is larger than the sum of its proper divisors (96936042337749).

131121310551435 is a wasteful number, since it uses less digits than its factorization.

131121310551435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206364 (or 206361 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 131121310551435 its reverse (534155013121131), we get a palindrome (665276323672566).

The spelling of 131121310551435 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred ten million, five hundred fifty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 293 879 1465 2637 4395 13185 77137 128923 231411 385685 386769 644615 694233 1157055 1160307 1933845 3471165 5801535 22601141 37774439 67803423 113005705 113323317 188872195 203410269 339017115 339969951 566616585 1017051345 1699849755 9944733451 29834200353 49723667255 89502601059 149171001765 447513005295 2913806901143 8741420703429 14569034505715 26224262110287 43707103517145 131121310551435