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36306431081 is a prime number
BaseRepresentation
bin100001110100000010…
…000010110001101001
310110201020221210110122
4201310002002301221
51043323421243311
624402352453025
72423464400204
oct416402026151
9113636853418
1036306431081
1114441041048
127052b4a175
133567aa0c1b
141a85c2293b
15e275e10db
hex874082c69

36306431081 has 2 divisors, whose sum is σ = 36306431082. Its totient is φ = 36306431080.

The previous prime is 36306431059. The next prime is 36306431087. The reversal of 36306431081 is 18013460363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23433486400 + 12872944681 = 153080^2 + 113459^2 .

It is a cyclic number.

It is not a de Polignac number, because 36306431081 - 210 = 36306430057 is a prime.

It is a super-2 number, since 2×363064310812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36306431087) 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, 18153215540 + 18153215541.

It is an arithmetic number, because the mean of its divisors is an integer number (18153215541).

Almost surely, 236306431081 is an apocalyptic number.

It is an amenable number.

36306431081 is a deficient number, since it is larger than the sum of its proper divisors (1).

36306431081 is an equidigital number, since it uses as much as digits as its factorization.

36306431081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 36306431081 in words is "thirty-six billion, three hundred six million, four hundred thirty-one thousand, eighty-one".