Search a number
-
+
10222221137 is a prime number
BaseRepresentation
bin10011000010100101…
…01011011101010001
3222101101220122012212
421201102223131101
5131413342034022
64410201401505
7511213305662
oct114122533521
928341818185
1010222221137
1143761a5047
121b93499295
13c6ba54b7b
146cd88b369
153ec6563e2
hex2614ab751

10222221137 has 2 divisors, whose sum is σ = 10222221138. Its totient is φ = 10222221136.

The previous prime is 10222221109. The next prime is 10222221151. The reversal of 10222221137 is 73112222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5770529296 + 4451691841 = 75964^2 + 66721^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222221137 - 224 = 10205443921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222221187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111110568 + 5111110569.

It is an arithmetic number, because the mean of its divisors is an integer number (5111110569).

Almost surely, 210222221137 is an apocalyptic number.

It is an amenable number.

10222221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222221137 is an equidigital number, since it uses as much as digits as its factorization.

10222221137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10222221137 its reverse (73112222201), we get a palindrome (83334443338).

The spelling of 10222221137 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-seven".