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218096042137 is a prime number
BaseRepresentation
bin1100101100011110001…
…0011000000010011001
3202211221111011212120021
43023013202120002121
512033130041322022
6244105243030441
721520423525231
oct3130742300231
9684844155507
10218096042137
1184548591526
1236327b0b421
131774940890c
14a7ad58ccc1
155a16e9e7c7
hex32c7898099

218096042137 has 2 divisors, whose sum is σ = 218096042138. Its totient is φ = 218096042136.

The previous prime is 218096042119. The next prime is 218096042173. The reversal of 218096042137 is 731240690812.

Together with next prime (218096042173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189006693001 + 29089349136 = 434749^2 + 170556^2 .

It is a cyclic number.

It is not a de Polignac number, because 218096042137 - 27 = 218096042009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218096042093 and 218096042102.

It is not a weakly prime, because it can be changed into another prime (218096042737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109048021068 + 109048021069.

It is an arithmetic number, because the mean of its divisors is an integer number (109048021069).

Almost surely, 2218096042137 is an apocalyptic number.

It is an amenable number.

218096042137 is a deficient number, since it is larger than the sum of its proper divisors (1).

218096042137 is an equidigital number, since it uses as much as digits as its factorization.

218096042137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 218096042137 in words is "two hundred eighteen billion, ninety-six million, forty-two thousand, one hundred thirty-seven".