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231330332313 = 32891224123593
BaseRepresentation
bin1101011101110001011…
…1001011111010011001
3211010002210211110201200
43113130113023322121
512242231031113223
6254134403504413
722466403244503
oct3273427137231
9733083743650
10231330332313
118a119a3a623
1238a00088109
1318a781ac552
14b2a70a4d73
15603dc80a43
hex35dc5cbe99

231330332313 has 24 divisors (see below), whose sum is σ = 337940165160. Its totient is φ = 152468490240.

The previous prime is 231330332297. The next prime is 231330332329. The reversal of 231330332313 is 313233033132.

231330332313 is a `hidden beast` number, since 2 + 3 + 1 + 330 + 3 + 323 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (231330332297) and next prime (231330332329).

It can be written as a sum of positive squares in 4 ways, for example, as 5184432009 + 226145900304 = 72003^2 + 475548^2 .

It is not a de Polignac number, because 231330332313 - 24 = 231330332297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231330332383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9793245 + ... + 9816837.

It is an arithmetic number, because the mean of its divisors is an integer number (14080840215).

Almost surely, 2231330332313 is an apocalyptic number.

It is an amenable number.

231330332313 is a deficient number, since it is larger than the sum of its proper divisors (106609832847).

231330332313 is a wasteful number, since it uses less digits than its factorization.

231330332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35929 (or 35926 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 231330332313 its reverse (313233033132), we get a palindrome (544563365445).

The spelling of 231330332313 in words is "two hundred thirty-one billion, three hundred thirty million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 89 267 801 12241 23593 36723 70779 110169 212337 1089449 2099777 3268347 6299331 9805041 18897993 288801913 866405739 2599217217 25703370257 77110110771 231330332313