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82143320181 = 31321133174523
BaseRepresentation
bin100110010000000011…
…1111001100001110101
321212000201011000112220
41030200013321201311
52321212142221211
6101423000232553
75635405462326
oct1144007714165
9255021130486
1082143320181
113192284327a
1213b0576b759
1379911ac800
143d936a044d
15220b741806
hex13201f9875

82143320181 has 48 divisors (see below), whose sum is σ = 120050963136. Its totient is φ = 49933298688.

The previous prime is 82143320159. The next prime is 82143320191. The reversal of 82143320181 is 18102334128.

It is not a de Polignac number, because 82143320181 - 27 = 82143320053 is a prime.

It is a super-2 number, since 2×821433201812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82143320191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18158986 + ... + 18163508.

It is an arithmetic number, because the mean of its divisors is an integer number (2501061732).

Almost surely, 282143320181 is an apocalyptic number.

It is an amenable number.

82143320181 is a deficient number, since it is larger than the sum of its proper divisors (37907642955).

82143320181 is a wasteful number, since it uses less digits than its factorization.

82143320181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 82143320181 in words is "eighty-two billion, one hundred forty-three million, three hundred twenty thousand, one hundred eighty-one".

Divisors: 1 3 13 39 113 169 317 339 507 951 1469 4121 4407 4523 12363 13569 19097 35821 53573 57291 58799 107463 160719 176397 465673 511099 764387 1397019 1433791 1533297 2293161 4301373 6053749 6644287 18161247 18639283 19932861 55917849 86375731 162018383 242310679 259127193 486055149 726932037 2106238979 6318716937 27381106727 82143320181