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11202220211 = 721328362141
BaseRepresentation
bin10100110111011010…
…00101000010110011
31001220200221202012212
422123231011002303
5140420232021321
65051330242335
7544413205100
oct123355050263
931820852185
1011202220211
1148293a7936
1222077263ab
131096aab390
14783aadaa7
154586d655b
hex29bb450b3

11202220211 has 24 divisors (see below), whose sum is σ = 14083365744. Its totient is φ = 8831833920.

The previous prime is 11202220189. The next prime is 11202220213.

11202220211 is nontrivially palindromic in base 10.

11202220211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11202220211 - 26 = 11202220147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11202220213) 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 23 ways as a sum of consecutive naturals, for example, 149201 + ... + 211341.

It is an arithmetic number, because the mean of its divisors is an integer number (586806906).

Almost surely, 211202220211 is an apocalyptic number.

11202220211 is a deficient number, since it is larger than the sum of its proper divisors (2881145533).

11202220211 is a wasteful number, since it uses less digits than its factorization.

11202220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62451 (or 62444 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 11202220211 in words is "eleven billion, two hundred two million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 7 13 49 91 283 637 1981 3679 13867 25753 62141 180271 434987 807833 3044909 5654831 17585903 39583817 123101321 228616739 861709247 1600317173 11202220211