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1100112313 = 1723806617
BaseRepresentation
bin100000110010010…
…0110000110111001
32211200001111101111
41001210212012321
54223112043223
6301055120321
736155541346
oct10144460671
92750044344
101100112313
11514a91733
122685130a1
13146bbcb41
14a616b7cd
15668a930d
hex419261b9

1100112313 has 6 divisors (see below), whose sum is σ = 1168631726. Its totient is φ = 1035399552.

The previous prime is 1100112281. The next prime is 1100112317. The reversal of 1100112313 is 3132110011.

It can be written as a sum of positive squares in 3 ways, for example, as 138368169 + 961744144 = 11763^2 + 31012^2 .

It is not a de Polignac number, because 1100112313 - 25 = 1100112281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100112293 and 1100112302.

It is not an unprimeable number, because it can be changed into a prime (1100112317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1903020 + ... + 1903597.

Almost surely, 21100112313 is an apocalyptic number.

It is an amenable number.

1100112313 is a deficient number, since it is larger than the sum of its proper divisors (68519413).

1100112313 is an equidigital number, since it uses as much as digits as its factorization.

1100112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806651 (or 3806634 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1100112313 is about 33167.9410425188. The cubic root of 1100112313 is about 1032.3152471324.

Adding to 1100112313 its reverse (3132110011), we get a palindrome (4232222324).

The spelling of 1100112313 in words is "one billion, one hundred million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 17 289 3806617 64712489 1100112313