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312443140033 is a prime number
BaseRepresentation
bin1001000101111110000…
…11111111011111000001
31002212110200220000221101
410202333003333133001
520104340420440113
6355311232454401
731400426604463
oct4427703773701
91085420800841
10312443140033
11110563009602
12506786aa401
1323603a2a86b
141119d954133
1581d9cb52dd
hex48bf0ff7c1

312443140033 has 2 divisors, whose sum is σ = 312443140034. Its totient is φ = 312443140032.

The previous prime is 312443140021. The next prime is 312443140099. The reversal of 312443140033 is 330041344213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243787087504 + 68656052529 = 493748^2 + 262023^2 .

It is a cyclic number.

It is not a de Polignac number, because 312443140033 - 213 = 312443131841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312443139983 and 312443140010.

It is not a weakly prime, because it can be changed into another prime (312443140013) 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 as a sum of consecutive naturals, namely, 156221570016 + 156221570017.

It is an arithmetic number, because the mean of its divisors is an integer number (156221570017).

Almost surely, 2312443140033 is an apocalyptic number.

It is an amenable number.

312443140033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312443140033 is an equidigital number, since it uses as much as digits as its factorization.

312443140033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312443140033 its reverse (330041344213), we get a palindrome (642484484246).

The spelling of 312443140033 in words is "three hundred twelve billion, four hundred forty-three million, one hundred forty thousand, thirty-three".