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11202120211 = 71251628591
BaseRepresentation
bin10100110111011001…
…01100101000010011
31001220200202200001011
422123230230220103
5140420220321321
65051324151351
7544412310412
oct123354545023
931820680034
1011202120211
114829339797
122207698557
131096a749c9
14783a85479
154586b6ae1
hex29bb2ca13

11202120211 has 8 divisors (see below), whose sum is σ = 11405173248. Its totient is φ = 11000325000.

The previous prime is 11202120197. The next prime is 11202120253.

11202120211 is nontrivially palindromic in base 10.

11202120211 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 11202120211 - 215 = 11202087443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11202120191 and 11202120200.

It is not an unprimeable number, because it can be changed into a prime (11202120311) 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, 296475 + ... + 332116.

It is an arithmetic number, because the mean of its divisors is an integer number (1425646656).

Almost surely, 211202120211 is an apocalyptic number.

11202120211 is a deficient number, since it is larger than the sum of its proper divisors (203053037).

11202120211 is an equidigital number, since it uses as much as digits as its factorization.

11202120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628913.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 11202120211 in words is "eleven billion, two hundred two million, one hundred twenty thousand, two hundred eleven".

Divisors: 1 71 251 17821 628591 44629961 157776341 11202120211