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110131023303313 = 418094357762061
BaseRepresentation
bin11001000010100111100000…
…100001011101001010010001
3112102221102102101000012222121
4121002213200201131022101
5103413341313431201223
61030121254343534241
732124463265312515
oct3102474041351221
9472842371005877
10110131023303313
11321003395aa241
1210428168a5a381
13495b407181cbc
141d2a5272a2145
15caeb6230c15d
hex6429e085d291

110131023303313 has 16 divisors (see below), whose sum is σ = 112982671987920. Its totient is φ = 107287318195200.

The previous prime is 110131023303311. The next prime is 110131023303319. The reversal of 110131023303313 is 313303320131011.

It can be written as a sum of positive squares in 8 ways, for example, as 6276743547649 + 103854279755664 = 2505343^2 + 10190892^2 .

It is a cyclic number.

It is not a de Polignac number, because 110131023303313 - 21 = 110131023303311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110131023303311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144136303 + ... + 144898363.

It is an arithmetic number, because the mean of its divisors is an integer number (7061416999245).

Almost surely, 2110131023303313 is an apocalyptic number.

It is an amenable number.

110131023303313 is a deficient number, since it is larger than the sum of its proper divisors (2851648684607).

110131023303313 is an equidigital number, since it uses as much as digits as its factorization.

110131023303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767268.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 110131023303313 its reverse (313303320131011), we get a palindrome (423434343434324).

The spelling of 110131023303313 in words is "one hundred ten trillion, one hundred thirty-one billion, twenty-three million, three hundred three thousand, three hundred thirteen".

Divisors: 1 41 809 4357 33169 178637 762061 3524813 31244501 144517333 616507349 3320299777 25276801309 136132290857 2686122519593 110131023303313