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20127713 is a prime number
BaseRepresentation
bin100110011000…
…1111111100001
31101212121000212
41030301333201
520123041323
61555223505
7333040244
oct114617741
941777025
1020127713
11103a8281
1268a7b95
1342295b8
14295d25b
151b78b78
hex1331fe1

20127713 has 2 divisors, whose sum is σ = 20127714. Its totient is φ = 20127712.

The previous prime is 20127683. The next prime is 20127727. The reversal of 20127713 is 31772102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11175649 + 8952064 = 3343^2 + 2992^2 .

It is a cyclic number.

It is not a de Polignac number, because 20127713 - 212 = 20123617 is a prime.

It is a super-2 number, since 2×201277132 = 810249661220738, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20127733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10063856 + 10063857.

It is an arithmetic number, because the mean of its divisors is an integer number (10063857).

Almost surely, 220127713 is an apocalyptic number.

It is an amenable number.

20127713 is a deficient number, since it is larger than the sum of its proper divisors (1).

20127713 is an equidigital number, since it uses as much as digits as its factorization.

20127713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 20127713 is about 4486.3919801997. The cubic root of 20127713 is about 272.0183135377.

Adding to 20127713 its reverse (31772102), we get a palindrome (51899815).

The spelling of 20127713 in words is "twenty million, one hundred twenty-seven thousand, seven hundred thirteen".