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4131210213 = 321335309489
BaseRepresentation
bin1111011000111101…
…0100001111100101
3101122220121020000200
43312033110033211
531430042211323
61521534101113
7204242464434
oct36617241745
911586536020
104131210213
11182aa62419
1297364a799
1350ab71cb0
142b294b11b
15192a42443
hexf63d43e5

4131210213 has 12 divisors (see below), whose sum is σ = 6426327180. Its totient is φ = 2542283136.

The previous prime is 4131210169. The next prime is 4131210221. The reversal of 4131210213 is 3120121314.

It can be written as a sum of positive squares in 2 ways, for example, as 2669065569 + 1462144644 = 51663^2 + 38238^2 .

It is not a de Polignac number, because 4131210213 - 230 = 3057468389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131211213) 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 11 ways as a sum of consecutive naturals, for example, 17654628 + ... + 17654861.

It is an arithmetic number, because the mean of its divisors is an integer number (535527265).

Almost surely, 24131210213 is an apocalyptic number.

It is an amenable number.

4131210213 is a deficient number, since it is larger than the sum of its proper divisors (2295116967).

4131210213 is a wasteful number, since it uses less digits than its factorization.

4131210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35309508 (or 35309505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4131210213 is about 64274.4911531783. The cubic root of 4131210213 is about 1604.5715885717.

Adding to 4131210213 its reverse (3120121314), we get a palindrome (7251331527).

The spelling of 4131210213 in words is "four billion, one hundred thirty-one million, two hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 35309489 105928467 317785401 459023357 1377070071 4131210213