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111000313 = 2910137897
BaseRepresentation
bin1101001110110…
…11101011111001
321201212101210201
412213123223321
5211404002223
615003042201
72515326034
oct647335371
9251771721
10111000313
11577251a6
1231210361
1319cc5778
1410a5601b
159b28ead
hex69dbaf9

111000313 has 8 divisors (see below), whose sum is σ = 115967880. Its totient is φ = 106108800.

The previous prime is 111000289. The next prime is 111000341. The reversal of 111000313 is 313000111.

It can be written as a sum of positive squares in 4 ways, for example, as 13227769 + 97772544 = 3637^2 + 9888^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111000313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111000313.

It is not an unprimeable number, because it can be changed into a prime (111000343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16020 + ... + 21877.

It is an arithmetic number, because the mean of its divisors is an integer number (14495985).

Almost surely, 2111000313 is an apocalyptic number.

It is an amenable number.

111000313 is a deficient number, since it is larger than the sum of its proper divisors (4967567).

111000313 is a wasteful number, since it uses less digits than its factorization.

111000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38027.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 111000313 is about 10535.6686071649. The cubic root of 111000313 is about 480.5900050954.

Adding to 111000313 its reverse (313000111), we get a palindrome (424000424).

The spelling of 111000313 in words is "one hundred eleven million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 29 101 2929 37897 1099013 3827597 111000313