Search a number
-
+
3111011441 = 17232345937
BaseRepresentation
bin1011100101101110…
…0100010001110001
322000210220202101222
42321123210101301
522332404331231
61232411434425
7140044106126
oct27133442161
98023822358
103111011441
1113570a2a3a
12729a55a15
133a76b2095
1421726274d
151331c127b
hexb96e4471

3111011441 has 12 divisors (see below), whose sum is σ = 3443466852. Its totient is φ = 2800697856.

The previous prime is 3111011419. The next prime is 3111011443. The reversal of 3111011441 is 1441101113.

3111011441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2525565025 + 585446416 = 50255^2 + 24196^2 .

It is a de Polignac number, because none of the positive numbers 2k-3111011441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3111011443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163976 + ... + 181961.

It is an arithmetic number, because the mean of its divisors is an integer number (286955571).

Almost surely, 23111011441 is an apocalyptic number.

It is an amenable number.

3111011441 is a deficient number, since it is larger than the sum of its proper divisors (332455411).

3111011441 is a wasteful number, since it uses less digits than its factorization.

3111011441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346000 (or 345977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 3111011441 is about 55776.4416308534. The cubic root of 3111011441 is about 1459.8241235881.

Adding to 3111011441 its reverse (1441101113), we get a palindrome (4552112554).

The spelling of 3111011441 in words is "three billion, one hundred eleven million, eleven thousand, four hundred forty-one".

Divisors: 1 17 23 391 529 8993 345937 5880929 7956551 135261367 183000673 3111011441