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10000110000017 is a prime number
BaseRepresentation
bin1001000110000101010100…
…0000010001011110010001
31022102000000212012211111002
42101201111000101132101
52302320211130000032
633133553114431345
72051325022336124
oct221412500213621
938360025184432
1010000110000017
113206028435725
121156108732555
13577010b908a7
142680179a43bb
151251d4920862
hex91855011791

10000110000017 has 2 divisors, whose sum is σ = 10000110000018. Its totient is φ = 10000110000016.

The previous prime is 10000109999981. The next prime is 10000110000071. The reversal of 10000110000017 is 71000001100001.

Together with next prime (10000110000071) 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., 9962330691856 + 37779308161 = 3156316^2 + 194369^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000110000017 - 240 = 8900598372241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000109999962 and 10000110000007.

It is not a weakly prime, because it can be changed into another prime (10000110000217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055000008 + 5000055000009.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055000009).

Almost surely, 210000110000017 is an apocalyptic number.

It is an amenable number.

10000110000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000110000017 is an equidigital number, since it uses as much as digits as its factorization.

10000110000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 10000110000017 its reverse (71000001100001), we get a palindrome (81000111100018).

The spelling of 10000110000017 in words is "ten trillion, one hundred ten million, seventeen", and thus it is an aban number.