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11011220221 = 2910912492789
BaseRepresentation
bin10100100000101000…
…11110001011111101
31001102101112221111011
422100110132023331
5140022333021341
65020344355221
7536603553601
oct122024361375
931371487434
1011011220221
114740601801
122173775b11
131066355731
14766591501
15446a58b81
hex29051e2fd

11011220221 has 16 divisors (see below), whose sum is σ = 11508750000. Its totient is φ = 10521778176.

The previous prime is 11011220219. The next prime is 11011220267. The reversal of 11011220221 is 12202211011.

11011220221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 192932100 + 10818288121 = 13890^2 + 104011^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011220221 - 21 = 11011220219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011220201) 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 15 ways as a sum of consecutive naturals, for example, 3946695 + ... + 3949483.

It is an arithmetic number, because the mean of its divisors is an integer number (719296875).

Almost surely, 211011220221 is an apocalyptic number.

It is an amenable number.

11011220221 is a deficient number, since it is larger than the sum of its proper divisors (497529779).

11011220221 is a wasteful number, since it uses less digits than its factorization.

11011220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176.

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

Adding to 11011220221 its reverse (12202211011), we get a palindrome (23213431232).

The spelling of 11011220221 in words is "eleven billion, eleven million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 29 109 1249 2789 3161 36221 80881 136141 304001 3483461 3948089 8816029 101020369 379697249 11011220221