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86358101 is a prime number
BaseRepresentation
bin1010010010110…
…11100001010101
320000111110001012
411021123201111
5134101424401
612322542005
72066013614
oct511334125
9200443035
1086358101
1144824135
1224b07905
1314b7838b
14b67d87b
1578ac8bb
hex525b855

86358101 has 2 divisors, whose sum is σ = 86358102. Its totient is φ = 86358100.

The previous prime is 86358071. The next prime is 86358119. The reversal of 86358101 is 10185368.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60855601 + 25502500 = 7801^2 + 5050^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86358101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86358121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43179050 + 43179051.

It is an arithmetic number, because the mean of its divisors is an integer number (43179051).

Almost surely, 286358101 is an apocalyptic number.

It is an amenable number.

86358101 is a deficient number, since it is larger than the sum of its proper divisors (1).

86358101 is an equidigital number, since it uses as much as digits as its factorization.

86358101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 86358101 is about 9292.9059502397. The cubic root of 86358101 is about 442.0123065989.

The spelling of 86358101 in words is "eighty-six million, three hundred fifty-eight thousand, one hundred one".