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1000031117 is a prime number
BaseRepresentation
bin111011100110110…
…100001110001101
32120200201211210112
4323212310032031
54022001443432
6243122045405
733532060421
oct7346641615
92520654715
101000031117
114735451a8
1223aaa9865
1312c24b3b7
1496b58b81
155cbda7b2
hex3b9b438d

1000031117 has 2 divisors, whose sum is σ = 1000031118. Its totient is φ = 1000031116.

The previous prime is 1000031113. The next prime is 1000031141. The reversal of 1000031117 is 7111300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 951784201 + 48246916 = 30851^2 + 6946^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000031117 - 22 = 1000031113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000031113) 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, 500015558 + 500015559.

It is an arithmetic number, because the mean of its divisors is an integer number (500015559).

Almost surely, 21000031117 is an apocalyptic number.

It is an amenable number.

1000031117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000031117 is an equidigital number, since it uses as much as digits as its factorization.

1000031117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 1000031117 is about 31623.2686008262. The cubic root of 1000031117 is about 1000.0103722257.

Adding to 1000031117 its reverse (7111300001), we get a palindrome (8111331118).

The spelling of 1000031117 in words is "one billion, thirty-one thousand, one hundred seventeen".