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83511027801073 is a prime number
BaseRepresentation
bin10010111111001111101101…
…001001011001101111110001
3101221200120120010002100110101
4102333033231021121233301
541421221041104113243
6453340234143232401
723406321056036455
oct2277175511315761
9357616503070411
1083511027801073
112467791207a4a4
129448bb62a8701
13377a09641c662
141689d5353a665
1599c4a7ee254d
hex4bf3ed259bf1

83511027801073 has 2 divisors, whose sum is σ = 83511027801074. Its totient is φ = 83511027801072.

The previous prime is 83511027801049. The next prime is 83511027801137. The reversal of 83511027801073 is 37010872011538.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70681213612944 + 12829814188129 = 8407212^2 + 3581873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83511027801073 is a prime.

It is not a weakly prime, because it can be changed into another prime (83511027801023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41755513900536 + 41755513900537.

It is an arithmetic number, because the mean of its divisors is an integer number (41755513900537).

Almost surely, 283511027801073 is an apocalyptic number.

It is an amenable number.

83511027801073 is a deficient number, since it is larger than the sum of its proper divisors (1).

83511027801073 is an equidigital number, since it uses as much as digits as its factorization.

83511027801073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 83511027801073 in words is "eighty-three trillion, five hundred eleven billion, twenty-seven million, eight hundred one thousand, seventy-three".