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82026121013 is a prime number
BaseRepresentation
bin100110001100100100…
…0110100011100110101
321211201112121200111222
41030121020310130311
52320442141333023
6101403212240125
75632453344644
oct1143110643465
9254645550458
1082026121013
1131872674861
1213a92470045
137972b266a5
143d81cb335b
1522012e0cc8
hex1319234735

82026121013 has 2 divisors, whose sum is σ = 82026121014. Its totient is φ = 82026121012.

The previous prime is 82026120973. The next prime is 82026121019. The reversal of 82026121013 is 31012162028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81609062929 + 417058084 = 285673^2 + 20422^2 .

It is a cyclic number.

It is not a de Polignac number, because 82026121013 - 26 = 82026120949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82026121019) 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 as a sum of consecutive naturals, namely, 41013060506 + 41013060507.

It is an arithmetic number, because the mean of its divisors is an integer number (41013060507).

Almost surely, 282026121013 is an apocalyptic number.

It is an amenable number.

82026121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

82026121013 is an equidigital number, since it uses as much as digits as its factorization.

82026121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 82026121013 in words is "eighty-two billion, twenty-six million, one hundred twenty-one thousand, thirteen".