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82311341211 = 3311277142563
BaseRepresentation
bin100110010101000100…
…0110110010010011011
321212110102022101002000
41030222020312102123
52322033200404321
6101451401412043
75642515566501
oct1145210662233
9255412271060
1082311341211
11319a9673a30
1213b51a9a023
1379b9c4b138
143dabb1a671
15221b380826
hex132a23649b

82311341211 has 16 divisors (see below), whose sum is σ = 133028430720. Its totient is φ = 49885661160.

The previous prime is 82311341153. The next prime is 82311341269. The reversal of 82311341211 is 11214311328.

82311341211 is a `hidden beast` number, since 8 + 2 + 311 + 341 + 2 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (82311341153) and next prime (82311341269).

It is not a de Polignac number, because 82311341211 - 27 = 82311341083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82311343211) 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 15 ways as a sum of consecutive naturals, for example, 138570985 + ... + 138571578.

It is an arithmetic number, because the mean of its divisors is an integer number (8314276920).

Almost surely, 282311341211 is an apocalyptic number.

82311341211 is a deficient number, since it is larger than the sum of its proper divisors (50717089509).

82311341211 is a wasteful number, since it uses less digits than its factorization.

82311341211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277142583 (or 277142577 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 82311341211 its reverse (11214311328), we get a palindrome (93525652539).

The spelling of 82311341211 in words is "eighty-two billion, three hundred eleven million, three hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 277142563 831427689 2494283067 3048568193 7482849201 9145704579 27437113737 82311341211