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4312048313 is a prime number
BaseRepresentation
bin1000000010000010…
…01010001010111001
3102010111212202021002
410001001022022321
532312341021223
61551514054345
7211566543266
oct40101121271
912114782232
104312048313
1119130477a1
12a0411a3b5
1353947a4a1
142cc98226d
151a3863e28
hex10104a2b9

4312048313 has 2 divisors, whose sum is σ = 4312048314. Its totient is φ = 4312048312.

The previous prime is 4312048291. The next prime is 4312048327. The reversal of 4312048313 is 3138402134.

It is a happy number.

4312048313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4221360784 + 90687529 = 64972^2 + 9523^2 .

It is a cyclic number.

It is not a de Polignac number, because 4312048313 - 228 = 4043612857 is a prime.

It is a super-2 number, since 2×43120483132 = 37187521307292291938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4312048343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2156024156 + 2156024157.

It is an arithmetic number, because the mean of its divisors is an integer number (2156024157).

Almost surely, 24312048313 is an apocalyptic number.

It is an amenable number.

4312048313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4312048313 is an equidigital number, since it uses as much as digits as its factorization.

4312048313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4312048313 is about 65666.1885067193. The cubic root of 4312048313 is about 1627.6506877370.

The spelling of 4312048313 in words is "four billion, three hundred twelve million, forty-eight thousand, three hundred thirteen".