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3111001113 = 311277311087
BaseRepresentation
bin1011100101101110…
…0001110000011001
322000210220020020110
42321123201300121
522332404013423
61232411314533
7140044034043
oct27133416031
98023806213
103111001113
111357096200
12729a4ba49
133a76aa47c
1421725ca93
151331bd193
hexb96e1c19

3111001113 has 24 divisors (see below), whose sum is σ = 4565683584. Its totient is φ = 1882846240.

The previous prime is 3111001097. The next prime is 3111001121.

3111001113 is nontrivially palindromic in base 10.

3111001113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3111001113 - 24 = 3111001097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3111001123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275056 + ... + 286142.

It is an arithmetic number, because the mean of its divisors is an integer number (190236816).

Almost surely, 23111001113 is an apocalyptic number.

3111001113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3111001113 is a deficient number, since it is larger than the sum of its proper divisors (1454682471).

3111001113 is a wasteful number, since it uses less digits than its factorization.

3111001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 3111001113 is about 55776.3490468855. The cubic root of 3111001113 is about 1459.8225081349.

It can be divided in two parts, 311100 and 1113, that added together give a palindrome (312213).

The spelling of 3111001113 in words is "three billion, one hundred eleven million, one thousand, one hundred thirteen".

Divisors: 1 3 11 33 121 363 773 2319 8503 11087 25509 33261 93533 121957 280599 365871 1341527 4024581 8570251 25710753 94272761 282818283 1037000371 3111001113