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11012002221 = 3112273893779
BaseRepresentation
bin10100100000101110…
…11101000110101101
31001102110000200012010
422100113131012231
5140023033032341
65020413231433
7536613321513
oct122027350655
931373020163
1011012002221
114740a96290
122173a92579
13106656a65c
147667164b3
15446b60716
hex2905dd1ad

11012002221 has 32 divisors (see below), whose sum is σ = 16133644800. Its totient is φ = 6625705280.

The previous prime is 11012002213. The next prime is 11012002237. The reversal of 11012002221 is 12220021011.

11012002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11012002221 - 23 = 11012002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11012002197 and 11012002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012002201) 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 in 31 ways as a sum of consecutive naturals, for example, 2912110 + ... + 2915888.

It is an arithmetic number, because the mean of its divisors is an integer number (504176400).

Almost surely, 211012002221 is an apocalyptic number.

11012002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012002221 is a deficient number, since it is larger than the sum of its proper divisors (5121642579).

11012002221 is a wasteful number, since it uses less digits than its factorization.

11012002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012002221 its reverse (12220021011), we get a palindrome (23232023232).

The spelling of 11012002221 in words is "eleven billion, twelve million, two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 227 389 681 1167 2497 3779 4279 7491 11337 12837 41569 88303 124707 264909 857833 971333 1470031 2573499 2913999 4410093 9436163 16170341 28308489 48511023 333697037 1001091111 3670667407 11012002221