Search a number
-
+
11011222102229 is a prime number
BaseRepresentation
bin1010000000111011111111…
…1110110110000011010101
31102222122220000000112112022
42200032333332312003111
52420401440324232404
635230252520102525
72214351230366456
oct240167776660325
942878800015468
1011011222102229
1135659188a6468
12129a070004a45
1361b47a373c2b
142a0d35b3d12d
151416619bb8be
hexa03bffb60d5

11011222102229 has 2 divisors, whose sum is σ = 11011222102230. Its totient is φ = 11011222102228.

The previous prime is 11011222102189. The next prime is 11011222102249. The reversal of 11011222102229 is 92220122211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8561903201329 + 2449318900900 = 2926073^2 + 1565030^2 .

It is an emirp because it is prime and its reverse (92220122211011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11011222102229 - 224 = 11011205325013 is a prime.

It is a super-3 number, since 3×110112221022293 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011222102198 and 11011222102207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011222102249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505611051114 + 5505611051115.

It is an arithmetic number, because the mean of its divisors is an integer number (5505611051115).

Almost surely, 211011222102229 is an apocalyptic number.

It is an amenable number.

11011222102229 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011222102229 is an equidigital number, since it uses as much as digits as its factorization.

11011222102229 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 26.

The spelling of 11011222102229 in words is "eleven trillion, eleven billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-nine".