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36130152137 is a prime number
BaseRepresentation
bin100001101001100001…
…100101111011001001
310110020222020220012212
4201221201211323021
51042443304332022
624333054314505
72416224140342
oct415141457311
9113228226185
1036130152137
1114360590072
127003ab8a35
13353a400961
141a6a6570c9
15e16dc03e2
hex869865ec9

36130152137 has 2 divisors, whose sum is σ = 36130152138. Its totient is φ = 36130152136.

The previous prime is 36130152131. The next prime is 36130152161. The reversal of 36130152137 is 73125103163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35207268496 + 922883641 = 187636^2 + 30379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36130152137 is a prime.

It is not a weakly prime, because it can be changed into another prime (36130152131) 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, 18065076068 + 18065076069.

It is an arithmetic number, because the mean of its divisors is an integer number (18065076069).

Almost surely, 236130152137 is an apocalyptic number.

It is an amenable number.

36130152137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36130152137 is an equidigital number, since it uses as much as digits as its factorization.

36130152137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 36130152137 in words is "thirty-six billion, one hundred thirty million, one hundred fifty-two thousand, one hundred thirty-seven".