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82200132195 = 3510154257513
BaseRepresentation
bin100110010001110000…
…0100111101001100011
321212011200001100222120
41030203200213221203
52321321213212240
6101432350035323
75636665411116
oct1144340475143
9255150040876
1082200132195
1131951916a55
1213b207a8b43
13799cbb169c
143d9b04c57d
152211714ad0
hex1323827a63

82200132195 has 16 divisors (see below), whose sum is σ = 132822394272. Its totient is φ = 43406009600.

The previous prime is 82200132187. The next prime is 82200132221. The reversal of 82200132195 is 59123100228.

It is a happy number.

It is not a de Polignac number, because 82200132195 - 23 = 82200132187 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27127242 + ... + 27130271.

It is an arithmetic number, because the mean of its divisors is an integer number (8301399642).

Almost surely, 282200132195 is an apocalyptic number.

82200132195 is a deficient number, since it is larger than the sum of its proper divisors (50622262077).

82200132195 is a wasteful number, since it uses less digits than its factorization.

82200132195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54257622.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 82200132195 in words is "eighty-two billion, two hundred million, one hundred thirty-two thousand, one hundred ninety-five".

Divisors: 1 3 5 15 101 303 505 1515 54257513 162772539 271287565 813862695 5480008813 16440026439 27400044065 82200132195