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993399013 is a prime number
BaseRepresentation
bin111011001101100…
…001000011100101
32120020020220021001
4323031201003211
54013302232023
6242323553301
733421516015
oct7315410345
92506226231
10993399013
1146a825422
1223882b831
1312aa68789
1495d0dc45
155c32a6ad
hex3b3610e5

993399013 has 2 divisors, whose sum is σ = 993399014. Its totient is φ = 993399012.

The previous prime is 993399007. The next prime is 993399037. The reversal of 993399013 is 310993399.

993399013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 833072769 + 160326244 = 28863^2 + 12662^2 .

It is a cyclic number.

It is not a de Polignac number, because 993399013 - 229 = 456528101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993399073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496699506 + 496699507.

It is an arithmetic number, because the mean of its divisors is an integer number (496699507).

Almost surely, 2993399013 is an apocalyptic number.

It is an amenable number.

993399013 is a deficient number, since it is larger than the sum of its proper divisors (1).

993399013 is an equidigital number, since it uses as much as digits as its factorization.

993399013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 177147, while the sum is 46.

The square root of 993399013 is about 31518.2330247113. The cubic root of 993399013 is about 997.7948117191.

The spelling of 993399013 in words is "nine hundred ninety-three million, three hundred ninety-nine thousand, thirteen".