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82139510017 is a prime number
BaseRepresentation
bin100110001111111100…
…1010111010100000001
321212000102222102222201
41030133321113110001
52321210203310032
6101422342433201
75635331213065
oct1143771272401
9255012872881
1082139510017
1131920680684
1213b04432801
137990477486
143d92d8baa5
15220b23c8e7
hex131fe57501

82139510017 has 2 divisors, whose sum is σ = 82139510018. Its totient is φ = 82139510016.

The previous prime is 82139509999. The next prime is 82139510023. The reversal of 82139510017 is 71001593128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76568977521 + 5570532496 = 276711^2 + 74636^2 .

It is a cyclic number.

It is not a de Polignac number, because 82139510017 - 211 = 82139507969 is a prime.

It is not a weakly prime, because it can be changed into another prime (82139510417) 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 as a sum of consecutive naturals, namely, 41069755008 + 41069755009.

It is an arithmetic number, because the mean of its divisors is an integer number (41069755009).

Almost surely, 282139510017 is an apocalyptic number.

It is an amenable number.

82139510017 is a deficient number, since it is larger than the sum of its proper divisors (1).

82139510017 is an equidigital number, since it uses as much as digits as its factorization.

82139510017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 82139510017 in words is "eighty-two billion, one hundred thirty-nine million, five hundred ten thousand, seventeen".