Search a number
-
+
1122202129 is a prime number
BaseRepresentation
bin100001011100011…
…0111001000010001
32220012121202220211
41002320313020101
54244240432004
6303204404121
736544363216
oct10270671021
92805552824
101122202129
115264aa084
122739a6641
1314b655539
14a907bb0d
15687be504
hex42e37211

1122202129 has 2 divisors, whose sum is σ = 1122202130. Its totient is φ = 1122202128.

The previous prime is 1122202117. The next prime is 1122202153. The reversal of 1122202129 is 9212022211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 870250000 + 251952129 = 29500^2 + 15873^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122202129 - 27 = 1122202001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1122200129) 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, 561101064 + 561101065.

It is an arithmetic number, because the mean of its divisors is an integer number (561101065).

Almost surely, 21122202129 is an apocalyptic number.

It is an amenable number.

1122202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122202129 is an equidigital number, since it uses as much as digits as its factorization.

1122202129 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 square root of 1122202129 is about 33499.2854998431. The cubic root of 1122202129 is about 1039.1790022673.

The spelling of 1122202129 in words is "one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-nine".