Search a number
-
+
11000022222029 is a prime number
BaseRepresentation
bin1010000000010010010001…
…1010101100010011001101
31102221120222110110200012112
42200010210122230103031
52420211021142101104
635221201311513405
72213503543105511
oct240044432542315
942846873420175
1011000022222029
1135610a0857725
121297a65228865
1361a3b3c04999
142a05924bc141
151412085e886e
hexa01246ac4cd

11000022222029 has 2 divisors, whose sum is σ = 11000022222030. Its totient is φ = 11000022222028.

The previous prime is 11000022222023. The next prime is 11000022222031. The reversal of 11000022222029 is 92022222000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10997195704804 + 2826517225 = 3316202^2 + 53165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11000022222029 is a prime.

Together with 11000022222031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000022221995 and 11000022222013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000022222023) 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, 5500011111014 + 5500011111015.

It is an arithmetic number, because the mean of its divisors is an integer number (5500011111015).

Almost surely, 211000022222029 is an apocalyptic number.

It is an amenable number.

11000022222029 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000022222029 is an equidigital number, since it uses as much as digits as its factorization.

11000022222029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 11000022222029 in words is "eleven trillion, twenty-two million, two hundred twenty-two thousand, twenty-nine".