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11242024211 = 112181513311
BaseRepresentation
bin10100111100001001…
…11010110100010011
31002000110212000001002
422132010322310103
5141010424233321
65055311332215
7545405425535
oct123604726423
932013760032
1011242024211
114849914200
122218b2106b
1310a2106942
147890b1855
1545be4a20b
hex29e13ad13

11242024211 has 12 divisors (see below), whose sum is σ = 12425230272. Its totient is φ = 10163538000.

The previous prime is 11242024159. The next prime is 11242024247.

11242024211 is nontrivially palindromic in base 10.

11242024211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11242024211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11242824211) 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 11 ways as a sum of consecutive naturals, for example, 234755 + ... + 278556.

It is an arithmetic number, because the mean of its divisors is an integer number (1035435856).

Almost surely, 211242024211 is an apocalyptic number.

11242024211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11242024211 is a deficient number, since it is larger than the sum of its proper divisors (1183206061).

11242024211 is a wasteful number, since it uses less digits than its factorization.

11242024211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513514 (or 513503 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 112420 and 24211, that added together give a palindrome (136631).

The spelling of 11242024211 in words is "eleven billion, two hundred forty-two million, twenty-four thousand, two hundred eleven".

Divisors: 1 11 121 181 1991 21901 513311 5646421 62110631 92909291 1022002201 11242024211