Search a number
-
+
3111000993 = 33412810299
BaseRepresentation
bin1011100101101110…
…0001101110100001
322000210220020002000
42321123201232201
522332404012433
61232411314213
7140044033512
oct27133415641
98023806060
103111000993
111357096101
12729a4b969
133a76aa3b9
1421725ca09
151331bd113
hexb96e1ba1

3111000993 has 16 divisors (see below), whose sum is σ = 4721304000. Its totient is φ = 2023414560.

The previous prime is 3111000983. The next prime is 3111001027. The reversal of 3111000993 is 3990001113.

It is not a de Polignac number, because 3111000993 - 221 = 3108903841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3111000973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404043 + ... + 1406256.

It is an arithmetic number, because the mean of its divisors is an integer number (295081500).

Almost surely, 23111000993 is an apocalyptic number.

It is an amenable number.

3111000993 is a deficient number, since it is larger than the sum of its proper divisors (1610303007).

3111000993 is a wasteful number, since it uses less digits than its factorization.

3111000993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810349 (or 2810343 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 3111000993 is about 55776.3479711607. The cubic root of 3111000993 is about 1459.8224893651.

The spelling of 3111000993 in words is "three billion, one hundred eleven million, nine hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 27 41 123 369 1107 2810299 8430897 25292691 75878073 115222259 345666777 1037000331 3111000993