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5305130141 = 10157791033
BaseRepresentation
bin1001111000011010…
…11101110010011101
3111200201112112102112
410330031131302131
541331103131031
62234231203405
7245315601503
oct47415356235
914621475375
105305130141
112282675883
121040816565
1366713477c
1438480c673
15210b2a62b
hex13c35dc9d

5305130141 has 8 divisors (see below), whose sum is σ = 5367000504. Its totient is φ = 5243443200.

The previous prime is 5305130119. The next prime is 5305130191. The reversal of 5305130141 is 1410315035.

It can be written as a sum of positive squares in 4 ways, for example, as 4566921241 + 738208900 = 67579^2 + 27170^2 .

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 5305130141 - 210 = 5305129117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305130191) by changing a digit.

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, 12761 + ... + 103793.

It is an arithmetic number, because the mean of its divisors is an integer number (670875063).

Almost surely, 25305130141 is an apocalyptic number.

It is an amenable number.

5305130141 is a deficient number, since it is larger than the sum of its proper divisors (61870363).

5305130141 is a wasteful number, since it uses less digits than its factorization.

5305130141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91711.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5305130141 is about 72836.3243237878. The cubic root of 5305130141 is about 1744.0757651141.

Adding to 5305130141 its reverse (1410315035), we get a palindrome (6715445176).

The spelling of 5305130141 in words is "five billion, three hundred five million, one hundred thirty thousand, one hundred forty-one".

Divisors: 1 101 577 58277 91033 9194333 52526041 5305130141