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36084101 is a prime number
BaseRepresentation
bin1000100110100…
…1100110000101
32111220021002012
42021221212011
533214142401
63325224005
7615465314
oct211514605
974807065
1036084101
1119406579
1210102005
137625351
144b1427b
15327b8bb
hex2269985

36084101 has 2 divisors, whose sum is σ = 36084102. Its totient is φ = 36084100.

The previous prime is 36084089. The next prime is 36084107. The reversal of 36084101 is 10148063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35988001 + 96100 = 5999^2 + 310^2 .

It is an emirp because it is prime and its reverse (10148063) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36084101 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36084107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18042050 + 18042051.

It is an arithmetic number, because the mean of its divisors is an integer number (18042051).

Almost surely, 236084101 is an apocalyptic number.

It is an amenable number.

36084101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36084101 is an equidigital number, since it uses as much as digits as its factorization.

36084101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 36084101 is about 6007.0043282821. The cubic root of 36084101 is about 330.4496502772.

The spelling of 36084101 in words is "thirty-six million, eighty-four thousand, one hundred one".