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4300041213 = 3213149246661
BaseRepresentation
bin1000000000100110…
…10110101111111101
3102002200021201121200
410000103112233331
532301302304323
61550404450113
7211362514206
oct40023265775
912080251550
104300041213
111907296676
12a000a9939
13536b351b0
142cb1385ad
151a2791443
hex1004d6bfd

4300041213 has 24 divisors (see below), whose sum is σ = 6733872600. Its totient is φ = 2628408960.

The previous prime is 4300041211. The next prime is 4300041227. The reversal of 4300041213 is 3121400034.

It can be written as a sum of positive squares in 4 ways, for example, as 183792249 + 4116248964 = 13557^2 + 64158^2 .

It is not a de Polignac number, because 4300041213 - 21 = 4300041211 is a prime.

It is a super-4 number, since 4×43000412134 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300041211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105898 + ... + 140763.

It is an arithmetic number, because the mean of its divisors is an integer number (280578025).

Almost surely, 24300041213 is an apocalyptic number.

It is an amenable number.

4300041213 is a deficient number, since it is larger than the sum of its proper divisors (2433831387).

4300041213 is a wasteful number, since it uses less digits than its factorization.

4300041213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246829 (or 246826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4300041213 is about 65574.6994884460. The cubic root of 4300041213 is about 1626.1385268434.

Adding to 4300041213 its reverse (3121400034), we get a palindrome (7421441247).

The spelling of 4300041213 in words is "four billion, three hundred million, forty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 17433 246661 739983 2219949 3206593 9619779 28859337 36752489 110257467 330772401 477782357 1433347071 4300041213