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2431312393 is a prime number
BaseRepresentation
bin1001000011101010…
…1110001000001001
320021102221110121011
42100322232020021
514434403444033
61041131243521
7114151546216
oct22072561011
96242843534
102431312393
111038459a94
1257a2a95a1
132c99300b3
14190c90b0d
15e36adccd
hex90eae209

2431312393 has 2 divisors, whose sum is σ = 2431312394. Its totient is φ = 2431312392.

The previous prime is 2431312391. The next prime is 2431312483. The reversal of 2431312393 is 3932131342.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2404137024 + 27175369 = 49032^2 + 5213^2 .

It is a cyclic number.

It is not a de Polignac number, because 2431312393 - 21 = 2431312391 is a prime.

It is a super-2 number, since 2×24313123932 = 11822559904710772898, which contains 22 as substring.

Together with 2431312391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2431312391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215656196 + 1215656197.

It is an arithmetic number, because the mean of its divisors is an integer number (1215656197).

Almost surely, 22431312393 is an apocalyptic number.

It is an amenable number.

2431312393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431312393 is an equidigital number, since it uses as much as digits as its factorization.

2431312393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The square root of 2431312393 is about 49308.3399943661. The cubic root of 2431312393 is about 1344.6634118575.

The spelling of 2431312393 in words is "two billion, four hundred thirty-one million, three hundred twelve thousand, three hundred ninety-three".