Search a number
-
+
1020314369 is a prime number
BaseRepresentation
bin111100110100001…
…100001100000001
32122002220100012002
4330310030030001
54042200024434
6245124513345
734166346314
oct7464141401
92562810162
101020314369
11483a39318
1224584b855
13133500719
149971897b
155e89557e
hex3cd0c301

1020314369 has 2 divisors, whose sum is σ = 1020314370. Its totient is φ = 1020314368.

The previous prime is 1020314353. The next prime is 1020314371. The reversal of 1020314369 is 9634130201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972192400 + 48121969 = 31180^2 + 6937^2 .

It is an emirp because it is prime and its reverse (9634130201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020314369 - 24 = 1020314353 is a prime.

It is a super-4 number, since 4×10203143694 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 1020314371, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1020314969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510157184 + 510157185.

It is an arithmetic number, because the mean of its divisors is an integer number (510157185).

Almost surely, 21020314369 is an apocalyptic number.

It is an amenable number.

1020314369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020314369 is an equidigital number, since it uses as much as digits as its factorization.

1020314369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1020314369 is about 31942.3601037869. The cubic root of 1020314369 is about 1006.7261142887.

The spelling of 1020314369 in words is "one billion, twenty million, three hundred fourteen thousand, three hundred sixty-nine".