Search a number
-
+
12205000085 = 510124168317
BaseRepresentation
bin10110101110111100…
…11000010110010101
31011111120212020121012
423113132120112111
5144443440000320
65335031302005
7611310534425
oct132736302625
934446766535
1012205000085
1151a344a233
12244751a905
1311c677c955
1483ad42485
154b67664c5
hex2d7798595

12205000085 has 8 divisors (see below), whose sum is σ = 14791010616. Its totient is φ = 9667326400.

The previous prime is 12205000057. The next prime is 12205000097. The reversal of 12205000085 is 58000050221.

12205000085 = 781182 + 781192.

It can be written as a sum of positive squares in 4 ways, for example, as 3733454404 + 8471545681 = 61102^2 + 92041^2 .

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

It is not a de Polignac number, because 12205000085 - 26 = 12205000021 is a prime.

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 12205000085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12083654 + ... + 12084663.

It is an arithmetic number, because the mean of its divisors is an integer number (1848876327).

Almost surely, 212205000085 is an apocalyptic number.

12205000085 is the 78119-th centered square number.

It is an amenable number.

12205000085 is a deficient number, since it is larger than the sum of its proper divisors (2586010531).

12205000085 is a wasteful number, since it uses less digits than its factorization.

12205000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168423.

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 12205000085 in words is "twelve billion, two hundred five million, eighty-five", and thus it is an aban number.

Divisors: 1 5 101 505 24168317 120841585 2441000017 12205000085