Search a number
-
+
10822760737 is a prime number
BaseRepresentation
bin10100001010001011…
…00011100100100001
31000221020221012200021
422011011203210201
5134131111320422
64545533153441
7532124643205
oct120505434441
930836835607
1010822760737
114654191368
12212062b881
1310362ac249
14749534b05
1543522ddc7
hex285163921

10822760737 has 2 divisors, whose sum is σ = 10822760738. Its totient is φ = 10822760736.

The previous prime is 10822760719. The next prime is 10822760743. The reversal of 10822760737 is 73706722801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6509423761 + 4313336976 = 80681^2 + 65676^2 .

It is an emirp because it is prime and its reverse (73706722801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10822760737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10822760693 and 10822760702.

It is not a weakly prime, because it can be changed into another prime (10822760777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5411380368 + 5411380369.

It is an arithmetic number, because the mean of its divisors is an integer number (5411380369).

Almost surely, 210822760737 is an apocalyptic number.

It is an amenable number.

10822760737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10822760737 is an equidigital number, since it uses as much as digits as its factorization.

10822760737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 10822760737 in words is "ten billion, eight hundred twenty-two million, seven hundred sixty thousand, seven hundred thirty-seven".