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36123324113 is a prime number
BaseRepresentation
bin100001101001000111…
…100010111011010001
310110020111101222221002
4201221013202323101
51042440032332423
624332252111345
72416112121512
oct415107427321
9113214358832
1036123324113
1114357747078
127001765555
133538b7cac6
141a6979aa09
15e164c2228
hex8691e2ed1

36123324113 has 2 divisors, whose sum is σ = 36123324114. Its totient is φ = 36123324112.

The previous prime is 36123324079. The next prime is 36123324131. The reversal of 36123324113 is 31142332163.

Together with next prime (36123324131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22918326544 + 13204997569 = 151388^2 + 114913^2 .

It is an emirp because it is prime and its reverse (31142332163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36123324113 - 26 = 36123324049 is a prime.

It is not a weakly prime, because it can be changed into another prime (36123324313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18061662056 + 18061662057.

It is an arithmetic number, because the mean of its divisors is an integer number (18061662057).

Almost surely, 236123324113 is an apocalyptic number.

It is an amenable number.

36123324113 is a deficient number, since it is larger than the sum of its proper divisors (1).

36123324113 is an equidigital number, since it uses as much as digits as its factorization.

36123324113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 29.

Adding to 36123324113 its reverse (31142332163), we get a palindrome (67265656276).

The spelling of 36123324113 in words is "thirty-six billion, one hundred twenty-three million, three hundred twenty-four thousand, one hundred thirteen".