Search a number
-
+
3127315681 = 72233189513
BaseRepresentation
bin1011101001100111…
…0000110011100001
322001221121002121201
42322121300303201
522401043100211
61234153121201
7140332513300
oct27231606341
98057532551
103127315681
111365319616
127333b9201
133aaba0269
142194a8437
151348420c1
hexba670ce1

3127315681 has 24 divisors (see below), whose sum is σ = 3918564864. Its totient is φ = 2481272640.

The previous prime is 3127315673. The next prime is 3127315747. The reversal of 3127315681 is 1865137213.

3127315681 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 3127315681 - 23 = 3127315673 is a prime.

It is a super-2 number, since 2×31273156812 = 19560206737256987522, which contains 22 as substring.

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 3127315681.

It is not an unprimeable number, because it can be changed into a prime (3127315661) 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, 9820 + ... + 79693.

It is an arithmetic number, because the mean of its divisors is an integer number (163273536).

Almost surely, 23127315681 is an apocalyptic number.

3127315681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3127315681 is a deficient number, since it is larger than the sum of its proper divisors (791249183).

3127315681 is a wasteful number, since it uses less digits than its factorization.

3127315681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89581 (or 89574 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 3127315681 is about 55922.4076824308. The cubic root of 3127315681 is about 1462.3699048669.

The spelling of 3127315681 in words is "three billion, one hundred twenty-seven million, three hundred fifteen thousand, six hundred eighty-one".

Divisors: 1 7 23 31 49 161 217 713 1127 1519 4991 34937 89513 626591 2058799 2774903 4386137 14411593 19424321 63822769 100881151 135970247 446759383 3127315681