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11201010211 = 412711008101
BaseRepresentation
bin10100110111010000…
…11101101000100011
31001220121200021102001
422123220131220203
5140414424311321
65051244304431
7544400005306
oct123350355043
931817607361
1011201010211
114828750836
122207242117
1310967766c1
14783876b3d
15458547c91
hex29ba1da23

11201010211 has 8 divisors (see below), whose sum is σ = 11516557248. Its totient is φ = 10887480000.

The previous prime is 11201010193. The next prime is 11201010221.

11201010211 is nontrivially palindromic in base 10.

11201010211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11201010211 - 217 = 11200879139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201010221) 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 7 ways as a sum of consecutive naturals, for example, 492940 + ... + 515161.

It is an arithmetic number, because the mean of its divisors is an integer number (1439569656).

Almost surely, 211201010211 is an apocalyptic number.

11201010211 is a deficient number, since it is larger than the sum of its proper divisors (315547037).

11201010211 is a wasteful number, since it uses less digits than its factorization.

11201010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008413.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 112010 and 10211, that added together give a palindrome (122221).

The spelling of 11201010211 in words is "eleven billion, two hundred one million, ten thousand, two hundred eleven".

Divisors: 1 41 271 11111 1008101 41332141 273195371 11201010211