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2123180813 = 13179607153
BaseRepresentation
bin111111010001101…
…0010101100001101
312110222010202112102
41332203102230031
513322013241223
6550403044445
7103420511345
oct17643225415
95428122472
102123180813
1199a531196
124b3070725
1327ab46010
14161da1d25
15c65e5928
hex7e8d2b0d

2123180813 has 8 divisors (see below), whose sum is σ = 2421002808. Its totient is φ = 1844573184.

The previous prime is 2123180789. The next prime is 2123180827. The reversal of 2123180813 is 3180813212.

It can be written as a sum of positive squares in 4 ways, for example, as 270997444 + 1852183369 = 16462^2 + 43037^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2123180813 - 26 = 2123180749 is a prime.

It is a super-3 number, since 3×21231808133 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123180863) 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 7 ways as a sum of consecutive naturals, for example, 4803356 + ... + 4803797.

It is an arithmetic number, because the mean of its divisors is an integer number (302625351).

Almost surely, 22123180813 is an apocalyptic number.

It is an amenable number.

2123180813 is a deficient number, since it is larger than the sum of its proper divisors (297821995).

2123180813 is a wasteful number, since it uses less digits than its factorization.

2123180813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607183.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2123180813 is about 46077.9862081667. The cubic root of 2123180813 is about 1285.2738167015.

The spelling of 2123180813 in words is "two billion, one hundred twenty-three million, one hundred eighty thousand, eight hundred thirteen".

Divisors: 1 13 17 221 9607153 124892989 163321601 2123180813