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1106017993 is a prime number
BaseRepresentation
bin100000111101100…
…0111111011001001
32212002011112110101
41001323013323021
54231120033433
6301425445401
736256666153
oct10173077311
92762145411
101106017993
11518355763
1226a4a0861
131481a9c22
14a6c67ad3
156717407d
hex41ec7ec9

1106017993 has 2 divisors, whose sum is σ = 1106017994. Its totient is φ = 1106017992.

The previous prime is 1106017961. The next prime is 1106018003. The reversal of 1106017993 is 3997106011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 625400064 + 480617929 = 25008^2 + 21923^2 .

It is a cyclic number.

It is not a de Polignac number, because 1106017993 - 25 = 1106017961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1106017903) 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, 553008996 + 553008997.

It is an arithmetic number, because the mean of its divisors is an integer number (553008997).

Almost surely, 21106017993 is an apocalyptic number.

It is an amenable number.

1106017993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1106017993 is an equidigital number, since it uses as much as digits as its factorization.

1106017993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 1106017993 is about 33256.8488134399. The cubic root of 1106017993 is about 1034.1591942250.

The spelling of 1106017993 in words is "one billion, one hundred six million, seventeen thousand, nine hundred ninety-three".