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36135101 is a prime number
BaseRepresentation
bin1000100111011…
…0000010111101
32111222212001002
42021312002331
533222310401
63330300045
7616100102
oct211660275
974885032
1036135101
1119440922
1210127625
137642622
144b28aa9
15328ba6b
hex22760bd

36135101 has 2 divisors, whose sum is σ = 36135102. Its totient is φ = 36135100.

The previous prime is 36135097. The next prime is 36135107. The reversal of 36135101 is 10153163.

It is a happy number.

36135101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36060025 + 75076 = 6005^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 36135101 - 22 = 36135097 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36135107) 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, 18067550 + 18067551.

It is an arithmetic number, because the mean of its divisors is an integer number (18067551).

Almost surely, 236135101 is an apocalyptic number.

It is an amenable number.

36135101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36135101 is an equidigital number, since it uses as much as digits as its factorization.

36135101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 36135101 is about 6011.2478737780. The cubic root of 36135101 is about 330.6052589631.

Adding to 36135101 its reverse (10153163), we get a palindrome (46288264).

The spelling of 36135101 in words is "thirty-six million, one hundred thirty-five thousand, one hundred one".