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2144103525 = 325233728277
BaseRepresentation
bin111111111001100…
…0110110001100101
312112102111202002200
41333303012301211
513342342303100
6552431325113
7104063402454
oct17763066145
95472452080
102144103525
11a00321793
124ba080799
13282290415
14164a8ab9b
15c8379e00
hex7fcc6c65

2144103525 has 36 divisors (see below), whose sum is σ = 3851859492. Its totient is φ = 1140088320.

The previous prime is 2144103509. The next prime is 2144103541. The reversal of 2144103525 is 5253014412.

2144103525 is a `hidden beast` number, since 214 + 410 + 35 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2144103509) and next prime (2144103541).

It can be written as a sum of positive squares in 6 ways, for example, as 218034756 + 1926068769 = 14766^2 + 43887^2 .

It is not a de Polignac number, because 2144103525 - 24 = 2144103509 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 61687 + ... + 89963.

It is an arithmetic number, because the mean of its divisors is an integer number (106996097).

Almost surely, 22144103525 is an apocalyptic number.

2144103525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144103525 is a deficient number, since it is larger than the sum of its proper divisors (1707755967).

2144103525 is a wasteful number, since it uses less digits than its factorization.

2144103525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28630 (or 28622 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2144103525 is about 46304.4654974010. The cubic root of 2144103525 is about 1289.4818993894.

Adding to 2144103525 its reverse (5253014412), we get a palindrome (7397117937).

The spelling of 2144103525 in words is "two billion, one hundred forty-four million, one hundred three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 337 1011 1685 3033 5055 8425 15165 25275 28277 75825 84831 141385 254493 424155 706925 1272465 2120775 6362325 9529349 28588047 47646745 85764141 142940235 238233725 428820705 714701175 2144103525