Search a number
-
+
10222221109 is a prime number
BaseRepresentation
bin10011000010100101…
…01011011100110101
3222101101220122011211
421201102223130311
5131413342033414
64410201401421
7511213305622
oct114122533465
928341818154
1010222221109
1143761a5021
121b93499271
13c6ba54b59
146cd88b349
153ec6563c4
hex2614ab735

10222221109 has 2 divisors, whose sum is σ = 10222221110. Its totient is φ = 10222221108.

The previous prime is 10222221067. The next prime is 10222221137. The reversal of 10222221109 is 90112222201.

10222221109 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., 10220199025 + 2022084 = 101095^2 + 1422^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222221109 - 221 = 10220123957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222221109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222221169) 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, 5111110554 + 5111110555.

It is an arithmetic number, because the mean of its divisors is an integer number (5111110555).

Almost surely, 210222221109 is an apocalyptic number.

It is an amenable number.

10222221109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222221109 is an equidigital number, since it uses as much as digits as its factorization.

10222221109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10222221109 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred nine".