Search a number
-
+
11000313 = 33616679
BaseRepresentation
bin101001111101…
…100111111001
3202200212121000
4221331213321
510304002223
61031435213
7162333612
oct51754771
922625530
1011000313
116233775
123825b09
132381c7c
141664c09
15e74543
hexa7d9f9

11000313 has 16 divisors (see below), whose sum is σ = 16566400. Its totient is φ = 7212240.

The previous prime is 11000299. The next prime is 11000347. The reversal of 11000313 is 31300011.

It is not a de Polignac number, because 11000313 - 25 = 11000281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000295 and 11000304.

It is not an unprimeable number, because it can be changed into a prime (11000383) 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, 1693 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (1035400).

Almost surely, 211000313 is an apocalyptic number.

It is an amenable number.

11000313 is a deficient number, since it is larger than the sum of its proper divisors (5566087).

11000313 is an equidigital number, since it uses as much as digits as its factorization.

11000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6743 counting only the distinct ones).

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

The square root of 11000313 is about 3316.6719765452. The cubic root of 11000313 is about 222.4001184483.

Adding to 11000313 its reverse (31300011), we get a palindrome (42300324).

The spelling of 11000313 in words is "eleven million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 61 183 549 1647 6679 20037 60111 180333 407419 1222257 3666771 11000313