Search a number
-
+
10022550049 is a prime number
BaseRepresentation
bin10010101010110001…
…11111101000100001
3221212111012021222101
421111120333220201
5131011233100144
64334310010401
7503240161351
oct112530775041
927774167871
1010022550049
114283517216
121b38646a01
13c395844b5
146b1152b61
153d9d646d4
hex25563fa21

10022550049 has 2 divisors, whose sum is σ = 10022550050. Its totient is φ = 10022550048.

The previous prime is 10022549981. The next prime is 10022550053. The reversal of 10022550049 is 94005522001.

10022550049 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., 8905319424 + 1117230625 = 94368^2 + 33425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022550049 - 225 = 9988995617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022549999 and 10022550026.

It is not a weakly prime, because it can be changed into another prime (10022550079) 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, 5011275024 + 5011275025.

It is an arithmetic number, because the mean of its divisors is an integer number (5011275025).

Almost surely, 210022550049 is an apocalyptic number.

It is an amenable number.

10022550049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022550049 is an equidigital number, since it uses as much as digits as its factorization.

10022550049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10022550049 in words is "ten billion, twenty-two million, five hundred fifty thousand, forty-nine".