Search a number
-
+
2961309601 is a prime number
BaseRepresentation
bin1011000010000001…
…1111111110100001
321122101020010002101
42300200133332201
522031043401401
61205503050401
7133245500455
oct26040377641
97571203071
102961309601
11128a644808
126a78a0a01
13382688b03
14201414665
15124ea0101
hexb081ffa1

2961309601 has 2 divisors, whose sum is σ = 2961309602. Its totient is φ = 2961309600.

The previous prime is 2961309563. The next prime is 2961309641. The reversal of 2961309601 is 1069031692.

2961309601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2676510225 + 284799376 = 51735^2 + 16876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2961309601 - 27 = 2961309473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2961309641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1480654800 + 1480654801.

It is an arithmetic number, because the mean of its divisors is an integer number (1480654801).

Almost surely, 22961309601 is an apocalyptic number.

It is an amenable number.

2961309601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2961309601 is an equidigital number, since it uses as much as digits as its factorization.

2961309601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 2961309601 is about 54417.9161765682. The cubic root of 2961309601 is about 1436.0225891200.

The spelling of 2961309601 in words is "two billion, nine hundred sixty-one million, three hundred nine thousand, six hundred one".