Search a number
-
+
1020313309 is a prime number
BaseRepresentation
bin111100110100001…
…011111011011101
32122002220021201211
4330310023323131
54042200011214
6245124504421
734166343241
oct7464137335
92562807654
101020313309
11483a38544
1224584b111
131335000b2
1499718421
155e8950c4
hex3cd0bedd

1020313309 has 2 divisors, whose sum is σ = 1020313310. Its totient is φ = 1020313308.

The previous prime is 1020313303. The next prime is 1020313313. The reversal of 1020313309 is 9033130201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995213209 + 25100100 = 31547^2 + 5010^2 .

It is an emirp because it is prime and its reverse (9033130201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020313309 - 27 = 1020313181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020313309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020313303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510156654 + 510156655.

It is an arithmetic number, because the mean of its divisors is an integer number (510156655).

Almost surely, 21020313309 is an apocalyptic number.

It is an amenable number.

1020313309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020313309 is an equidigital number, since it uses as much as digits as its factorization.

1020313309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 1020313309 is about 31942.3435113957. The cubic root of 1020313309 is about 1006.7257656609.

The spelling of 1020313309 in words is "one billion, twenty million, three hundred thirteen thousand, three hundred nine".