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127710013 is a prime number
BaseRepresentation
bin1111001110010…
…11001100111101
322220022100012111
413213023030331
5230143210023
620401134021
73110342254
oct747131475
9286270174
10127710013
11660a8472
123692a311
13205c6372
1412d6579b
15b32a00d
hex79cb33d

127710013 has 2 divisors, whose sum is σ = 127710014. Its totient is φ = 127710012.

The previous prime is 127709999. The next prime is 127710029. The reversal of 127710013 is 310017721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110628324 + 17081689 = 10518^2 + 4133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127710013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127710073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63855006 + 63855007.

It is an arithmetic number, because the mean of its divisors is an integer number (63855007).

Almost surely, 2127710013 is an apocalyptic number.

It is an amenable number.

127710013 is a deficient number, since it is larger than the sum of its proper divisors (1).

127710013 is an equidigital number, since it uses as much as digits as its factorization.

127710013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 127710013 is about 11300.8854962786. The cubic root of 127710013 is about 503.5875480992.

Adding to 127710013 its reverse (310017721), we get a palindrome (437727734).

The spelling of 127710013 in words is "one hundred twenty-seven million, seven hundred ten thousand, thirteen".