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85826020121 is a prime number
BaseRepresentation
bin100111111101110100…
…0010010001100011001
322012112100210120010222
41033323220102030121
52401232430120441
6103232233245425
76125564064002
oct1177350221431
9265470716128
1085826020121
1133442607246
1214772b63875
13812a156bba
14422281a1a9
152374bdbd4b
hex13fba12319

85826020121 has 2 divisors, whose sum is σ = 85826020122. Its totient is φ = 85826020120.

The previous prime is 85826020109. The next prime is 85826020171. The reversal of 85826020121 is 12102062858.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85541625625 + 284394496 = 292475^2 + 16864^2 .

It is a cyclic number.

It is not a de Polignac number, because 85826020121 - 218 = 85825757977 is a prime.

It is a super-2 number, since 2×858260201212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85826020171) 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, 42913010060 + 42913010061.

It is an arithmetic number, because the mean of its divisors is an integer number (42913010061).

Almost surely, 285826020121 is an apocalyptic number.

It is an amenable number.

85826020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

85826020121 is an equidigital number, since it uses as much as digits as its factorization.

85826020121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 35.

Adding to 85826020121 its reverse (12102062858), we get a palindrome (97928082979).

The spelling of 85826020121 in words is "eighty-five billion, eight hundred twenty-six million, twenty thousand, one hundred twenty-one".