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1010111010017 is a prime number
BaseRepresentation
bin11101011001011110100…
…11101101010011100001
310120120021101001221201112
432230233103231103201
5113022201404310032
62052012200313105
7132656330630234
oct16545723552341
93516241057645
101010111010017
1135a42737141a
12143924172795
1374339c82cc5
1436c6522541b
151b41e2511b2
hexeb2f4ed4e1

1010111010017 has 2 divisors, whose sum is σ = 1010111010018. Its totient is φ = 1010111010016.

The previous prime is 1010111009983. The next prime is 1010111010067. The reversal of 1010111010017 is 7100101110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994266242641 + 15844767376 = 997129^2 + 125876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010111010017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010111009983 and 1010111010010.

It is not a weakly prime, because it can be changed into another prime (1010111010067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055505008 + 505055505009.

It is an arithmetic number, because the mean of its divisors is an integer number (505055505009).

Almost surely, 21010111010017 is an apocalyptic number.

It is an amenable number.

1010111010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111010017 is an equidigital number, since it uses as much as digits as its factorization.

1010111010017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1010111010017 its reverse (7100101110101), we get a palindrome (8110212120118).

The spelling of 1010111010017 in words is "one trillion, ten billion, one hundred eleven million, ten thousand, seventeen".