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11013010333 = 132961974937
BaseRepresentation
bin10100100000110110…
…10011001110011101
31001102111220220001121
422100123103032131
5140023312312313
65020451010541
7536625020563
oct122033231635
931374826047
1011013010333
114741614736
122174299a51
131066831480
147668d9a33
15446cae28d
hex2906d339d

11013010333 has 32 divisors (see below), whose sum is σ = 12601380960. Its totient is φ = 9552936960.

The previous prime is 11013010313. The next prime is 11013010441. The reversal of 11013010333 is 33301031011.

11013010333 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 16 ways, for example, as 7141433049 + 3871577284 = 84507^2 + 62222^2 .

It is a cyclic number.

It is not a de Polignac number, because 11013010333 - 213 = 11013002141 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 (11013010313) 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, 2228241 + ... + 2233177.

It is an arithmetic number, because the mean of its divisors is an integer number (393793155).

Almost surely, 211013010333 is an apocalyptic number.

11013010333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11013010333 is a deficient number, since it is larger than the sum of its proper divisors (1588370627).

11013010333 is a wasteful number, since it uses less digits than its factorization.

11013010333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11013010333 its reverse (33301031011), we get a palindrome (44314041344).

The spelling of 11013010333 in words is "eleven billion, thirteen million, ten thousand, three hundred thirty-three".

Divisors: 1 13 29 61 97 377 793 1261 1769 2813 4937 5917 22997 36569 64181 76921 143173 171593 301157 478889 1861249 2230709 3915041 6225557 8733553 13887781 29212229 113536189 180541153 379758977 847154641 11013010333