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110003011001 = 13173171570193
BaseRepresentation
bin110011001110010110…
…0001011110110111001
3101111221022001221200122
41212130230023312321
53300241232323001
6122311254143025
710642656110612
oct1463454136671
9344838057618
10110003011001
1142719917344
121939b951a75
13a4b1012570
145477768c09
152cdc4deb1b
hex199cb0bdb9

110003011001 has 16 divisors (see below), whose sum is σ = 125829066384. Its totient is φ = 95266689024.

The previous prime is 110003010979. The next prime is 110003011009. The reversal of 110003011001 is 100110300011.

It can be written as a sum of positive squares in 8 ways, for example, as 40741404025 + 69261606976 = 201845^2 + 263176^2 .

It is a de Polignac number, because none of the positive numbers 2k-110003011001 is a prime.

It is a super-2 number, since 2×1100030110012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110003011001.

It is not an unprimeable number, because it can be changed into a prime (110003011009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715040 + ... + 855153.

It is an arithmetic number, because the mean of its divisors is an integer number (7864316649).

Almost surely, 2110003011001 is an apocalyptic number.

It is an amenable number.

110003011001 is a deficient number, since it is larger than the sum of its proper divisors (15826055383).

110003011001 is a wasteful number, since it uses less digits than its factorization.

110003011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570540.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 110003011001 its reverse (100110300011), we get a palindrome (210113311012).

The spelling of 110003011001 in words is "one hundred ten billion, three million, eleven thousand, one".

Divisors: 1 13 17 221 317 4121 5389 70057 1570193 20412509 26693281 347012653 497751181 6470765353 8461770077 110003011001