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82132132141 = 232400738747
BaseRepresentation
bin100110001111101110…
…1001110000100101101
321211222221002121110001
41030133131032010231
52321201311212031
6101421520344301
75635211414203
oct1143735160455
9254887077401
1082132132141
11319174a1564
1213b01a75091
13798ba93277
143d91dcb073
15220a781861
hex131f74e12d

82132132141 has 12 divisors (see below), whose sum is σ = 85881997152. Its totient is φ = 78539536856.

The previous prime is 82132132129. The next prime is 82132132151. The reversal of 82132132141 is 14123123128.

It is not a de Polignac number, because 82132132141 - 25 = 82132132109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82132132151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2100330 + ... + 2139076.

It is an arithmetic number, because the mean of its divisors is an integer number (7156833096).

Almost surely, 282132132141 is an apocalyptic number.

It is an amenable number.

82132132141 is a deficient number, since it is larger than the sum of its proper divisors (3749865011).

82132132141 is a wasteful number, since it uses less digits than its factorization.

82132132141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42800 (or 42777 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

Adding to 82132132141 its reverse (14123123128), we get a palindrome (96255255269).

The spelling of 82132132141 in words is "eighty-two billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 23 529 4007 38747 92161 891181 2119703 20497163 155259229 3570962267 82132132141