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82100052187 = 4722323333619
BaseRepresentation
bin100110001110110001…
…0110110000011011011
321211220200201210000121
41030131202312003123
52321120103132222
6101414413014111
75634341633506
oct1143542660333
9254820653017
1082100052187
11319003803aa
1213ab3184337
13798524064a
143d8ba3a13d
152207a465c7
hex131d8b60db

82100052187 has 16 divisors (see below), whose sum is σ = 84586844160. Its totient is φ = 79647227712.

The previous prime is 82100052137. The next prime is 82100052283. The reversal of 82100052187 is 78125000128.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82100052187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82100052107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425264 + ... + 2458882.

It is an arithmetic number, because the mean of its divisors is an integer number (5286677760).

Almost surely, 282100052187 is an apocalyptic number.

82100052187 is a deficient number, since it is larger than the sum of its proper divisors (2486791973).

82100052187 is a wasteful number, since it uses less digits than its factorization.

82100052187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34122.

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 82100052187 in words is "eighty-two billion, one hundred million, fifty-two thousand, one hundred eighty-seven".

Divisors: 1 47 223 233 10481 10951 33619 51959 1580093 2442073 7497037 7833227 352360739 368161669 1746809621 82100052187