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2144122105 = 529109135661
BaseRepresentation
bin111111111001100…
…1011010011111001
312112102112200120211
41333303023103321
513342343401410
6552431551121
7104063510566
oct17763132371
95472480524
102144122105
11a00334744
124ba08b4a1
13282298a08
14164a9386d
15c838068a
hex7fccb4f9

2144122105 has 16 divisors (see below), whose sum is σ = 2686107600. Its totient is φ = 1640943360.

The previous prime is 2144122103. The next prime is 2144122111. The reversal of 2144122105 is 5012214412.

It can be written as a sum of positive squares in 8 ways, for example, as 51151104 + 2092971001 = 7152^2 + 45749^2 .

It is not a de Polignac number, because 2144122105 - 21 = 2144122103 is a prime.

It is a super-2 number, since 2×21441221052 = 9194519202299262050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2144122103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52026 + ... + 83635.

It is an arithmetic number, because the mean of its divisors is an integer number (167881725).

Almost surely, 22144122105 is an apocalyptic number.

It is an amenable number.

2144122105 is a deficient number, since it is larger than the sum of its proper divisors (541985495).

2144122105 is a wasteful number, since it uses less digits than its factorization.

2144122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135804.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2144122105 is about 46304.6661255645. Note that the first 3 decimals coincide. The cubic root of 2144122105 is about 1289.4856241014.

Adding to 2144122105 its reverse (5012214412), we get a palindrome (7156336517).

The spelling of 2144122105 in words is "two billion, one hundred forty-four million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 5 29 109 145 545 3161 15805 135661 678305 3934169 14787049 19670845 73935245 428824421 2144122105