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312012432013 is a prime number
BaseRepresentation
bin1001000101001010110…
…00111110001010001101
31002211100200102210121111
410202211120332022031
520103000140311023
6355200405132021
731353646625122
oct4424530761215
91084320383544
10312012432013
1111036197a267
12505783ba011
1323565726c49
141115c678749
1581b208800d
hex48a563e28d

312012432013 has 2 divisors, whose sum is σ = 312012432014. Its totient is φ = 312012432012.

The previous prime is 312012431909. The next prime is 312012432019. The reversal of 312012432013 is 310234210213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300114421929 + 11898010084 = 547827^2 + 109078^2 .

It is a cyclic number.

It is not a de Polignac number, because 312012432013 - 229 = 311475561101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312012432019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156006216006 + 156006216007.

It is an arithmetic number, because the mean of its divisors is an integer number (156006216007).

Almost surely, 2312012432013 is an apocalyptic number.

It is an amenable number.

312012432013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312012432013 is an equidigital number, since it uses as much as digits as its factorization.

312012432013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312012432013 its reverse (310234210213), we get a palindrome (622246642226).

The spelling of 312012432013 in words is "three hundred twelve billion, twelve million, four hundred thirty-two thousand, thirteen".