Search a number
-
+
3029052641 is a prime number
BaseRepresentation
bin1011010010001011…
…1010110011100001
321211002200211001212
42310202322303201
522200414141031
61220323035505
7135030344156
oct26442726341
97732624055
103029052641
11131490409a
1270650bb95
13393717254
1420a40a22d
1512add212b
hexb48bace1

3029052641 has 2 divisors, whose sum is σ = 3029052642. Its totient is φ = 3029052640.

The previous prime is 3029052553. The next prime is 3029052671. The reversal of 3029052641 is 1462509203.

It is a happy number.

3029052641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2236911616 + 792141025 = 47296^2 + 28145^2 .

It is an emirp because it is prime and its reverse (1462509203) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3029052641 - 210 = 3029051617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3029052598 and 3029052607.

It is not a weakly prime, because it can be changed into another prime (3029052671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1514526320 + 1514526321.

It is an arithmetic number, because the mean of its divisors is an integer number (1514526321).

Almost surely, 23029052641 is an apocalyptic number.

It is an amenable number.

3029052641 is a deficient number, since it is larger than the sum of its proper divisors (1).

3029052641 is an equidigital number, since it uses as much as digits as its factorization.

3029052641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3029052641 is about 55036.8298596494. The cubic root of 3029052641 is about 1446.8903060988.

The spelling of 3029052641 in words is "three billion, twenty-nine million, fifty-two thousand, six hundred forty-one".