Search a number
-
+
309601024661 is a prime number
BaseRepresentation
bin1001000000101011010…
…10001011101010010101
31002121010121221121121002
410200111222023222111
520033030330242121
6354121224233045
731240126201025
oct4402552135225
91077117847532
10309601024661
1110a334786225
125000490b785
132326cc75ca6
1410db02c9a85
1580c050be0b
hex4815a8ba95

309601024661 has 2 divisors, whose sum is σ = 309601024662. Its totient is φ = 309601024660.

The previous prime is 309601024589. The next prime is 309601024669. The reversal of 309601024661 is 166420106903.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282418907761 + 27182116900 = 531431^2 + 164870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-309601024661 is a prime.

It is a super-4 number, since 4×3096010246614 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (309601024669) 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, 154800512330 + 154800512331.

It is an arithmetic number, because the mean of its divisors is an integer number (154800512331).

Almost surely, 2309601024661 is an apocalyptic number.

It is an amenable number.

309601024661 is a deficient number, since it is larger than the sum of its proper divisors (1).

309601024661 is an equidigital number, since it uses as much as digits as its factorization.

309601024661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 309601024661 in words is "three hundred nine billion, six hundred one million, twenty-four thousand, six hundred sixty-one".