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2130121305 = 325133641233
BaseRepresentation
bin111111011110111…
…0001001001011001
312111110012101002200
41332331301021121
513330302340210
6551211520413
7103533506124
oct17675611131
95443171080
102130121305
119a3441734
124b5459109
1327c406110
14162c8b3bb
15c70170c0
hex7ef71259

2130121305 has 24 divisors (see below), whose sum is σ = 3976227528. Its totient is φ = 1048674816.

The previous prime is 2130121297. The next prime is 2130121337. The reversal of 2130121305 is 5031210312.

It can be written as a sum of positive squares in 4 ways, for example, as 32114889 + 2098006416 = 5667^2 + 45804^2 .

It is not a de Polignac number, because 2130121305 - 23 = 2130121297 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 1820032 + ... + 1821201.

It is an arithmetic number, because the mean of its divisors is an integer number (165676147).

Almost surely, 22130121305 is an apocalyptic number.

It is an amenable number.

2130121305 is a deficient number, since it is larger than the sum of its proper divisors (1846106223).

2130121305 is a wasteful number, since it uses less digits than its factorization.

2130121305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641257 (or 3641254 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2130121305 is about 46153.2372104059. The cubic root of 2130121305 is about 1286.6727759366.

Adding to 2130121305 its reverse (5031210312), we get a palindrome (7161331617).

The spelling of 2130121305 in words is "two billion, one hundred thirty million, one hundred twenty-one thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 3641233 10923699 18206165 32771097 47336029 54618495 142008087 163855485 236680145 426024261 710040435 2130121305