Search a number
-
+
11222240129 is a prime number
BaseRepresentation
bin10100111001110010…
…11100101110000001
31001222002121212101022
422130321130232001
5140440343141004
65053323315225
7545045316152
oct123471345601
931862555338
1011222240129
114839731121
12221237bb15
13109ac9a899
14786601929
1545a33d2be
hex29ce5cb81

11222240129 has 2 divisors, whose sum is σ = 11222240130. Its totient is φ = 11222240128.

The previous prime is 11222240111. The next prime is 11222240177. The reversal of 11222240129 is 92104222211.

11222240129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10789600129 + 432640000 = 103873^2 + 20800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11222240129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11222240098 and 11222240107.

It is not a weakly prime, because it can be changed into another prime (11222240329) 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, 5611120064 + 5611120065.

It is an arithmetic number, because the mean of its divisors is an integer number (5611120065).

Almost surely, 211222240129 is an apocalyptic number.

It is an amenable number.

11222240129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11222240129 is an equidigital number, since it uses as much as digits as its factorization.

11222240129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 11222240129 in words is "eleven billion, two hundred twenty-two million, two hundred forty thousand, one hundred twenty-nine".