Search a number
-
+
201122000129 is a prime number
BaseRepresentation
bin1011101101001111001…
…1100010110100000001
3201020010112112012022202
42323103303202310001
511243344213001004
6232221050242545
720346663536261
oct2732363426401
9636115465282
10201122000129
1178328142536
1232b8b426455
1315c7290378b
149a3d1097a1
155371c03b1e
hex2ed3ce2d01

201122000129 has 2 divisors, whose sum is σ = 201122000130. Its totient is φ = 201122000128.

The previous prime is 201122000089. The next prime is 201122000153. The reversal of 201122000129 is 921000221102.

It is a happy number.

201122000129 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., 177666465025 + 23455535104 = 421505^2 + 153152^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122000129 - 216 = 201121934593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201122000129.

It is not a weakly prime, because it can be changed into another prime (201122080129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561000064 + 100561000065.

It is an arithmetic number, because the mean of its divisors is an integer number (100561000065).

Almost surely, 2201122000129 is an apocalyptic number.

It is an amenable number.

201122000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122000129 is an equidigital number, since it uses as much as digits as its factorization.

201122000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 201122000129 in words is "two hundred one billion, one hundred twenty-two million, one hundred twenty-nine", and thus it is an aban number.