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110001300017 = 7411359128201
BaseRepresentation
bin110011001110010010…
…1101010001000110001
3101111221011212000122212
41212130211222020301
53300240313100032
6122311153341505
710642635423410
oct1463445521061
9344834760585
10110001300017
1142718958904
121939b267895
13a4b086384b
145477441477
152cdc2a2bb2
hex199c96a231

110001300017 has 16 divisors (see below), whose sum is σ = 128796052224. Its totient is φ = 91977120000.

The previous prime is 110001299983. The next prime is 110001300029. The reversal of 110001300017 is 710003100011.

It is a cyclic number.

It is not a de Polignac number, because 110001300017 - 214 = 110001283633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110001299974 and 110001300010.

It is not an unprimeable number, because it can be changed into a prime (110001300047) 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 in 15 ways as a sum of consecutive naturals, for example, 3886517 + ... + 3914717.

It is an arithmetic number, because the mean of its divisors is an integer number (8049753264).

Almost surely, 2110001300017 is an apocalyptic number.

It is an amenable number.

110001300017 is a deficient number, since it is larger than the sum of its proper divisors (18794752207).

110001300017 is a wasteful number, since it uses less digits than its factorization.

110001300017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41840.

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

Adding to 110001300017 its reverse (710003100011), we get a palindrome (820004400028).

The spelling of 110001300017 in words is "one hundred ten billion, one million, three hundred thousand, seventeen".

Divisors: 1 7 41 287 13591 28201 95137 197407 557231 1156241 3900617 8093687 383279791 2682958537 15714471431 110001300017