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85101886721 is a prime number
BaseRepresentation
bin100111101000001110…
…1111011110100000001
322010122220012202212102
41033100131323310001
52343242040333341
6103032324440145
76101622046625
oct1172035736401
9263586182772
1085101886721
1133100884095
12145b0549055
138043117bb7
14419459d185
15233134dc9b
hex13d077bd01

85101886721 has 2 divisors, whose sum is σ = 85101886722. Its totient is φ = 85101886720.

The previous prime is 85101886663. The next prime is 85101886739. The reversal of 85101886721 is 12768810158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78803718400 + 6298168321 = 280720^2 + 79361^2 .

It is a cyclic number.

It is not a de Polignac number, because 85101886721 - 222 = 85097692417 is a prime.

It is a super-2 number, since 2×851018867212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85101586721) 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, 42550943360 + 42550943361.

It is an arithmetic number, because the mean of its divisors is an integer number (42550943361).

Almost surely, 285101886721 is an apocalyptic number.

It is an amenable number.

85101886721 is a deficient number, since it is larger than the sum of its proper divisors (1).

85101886721 is an equidigital number, since it uses as much as digits as its factorization.

85101886721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 47.

It can be divided in two parts, 851018 and 86721, that added together give a palindrome (937739).

The spelling of 85101886721 in words is "eighty-five billion, one hundred one million, eight hundred eighty-six thousand, seven hundred twenty-one".