Search a number
-
+
11124443031 = 3133114936163
BaseRepresentation
bin10100101110001000…
…11000011110010111
31001201021121020222120
422113010120132113
5140240324134111
65035511231023
7542450130342
oct122704303627
931637536876
1011124443031
114799504779
1221a5678473
131083948990
14777625459
15451971406
hex297118797

11124443031 has 32 divisors (see below), whose sum is σ = 16502556672. Its totient is φ = 6619466880.

The previous prime is 11124442997. The next prime is 11124443041. The reversal of 11124443031 is 13034442111.

11124443031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11124443031 - 214 = 11124426647 is a prime.

It is a super-2 number, since 2×111244430312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11124442992 and 11124443010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124443041) 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, 1801956 + ... + 1808118.

It is an arithmetic number, because the mean of its divisors is an integer number (515704896).

Almost surely, 211124443031 is an apocalyptic number.

11124443031 is a deficient number, since it is larger than the sum of its proper divisors (5378113641).

11124443031 is a wasteful number, since it uses less digits than its factorization.

11124443031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11124443031 its reverse (13034442111), we get a palindrome (24158885142).

The spelling of 11124443031 in words is "eleven billion, one hundred twenty-four million, four hundred forty-three thousand, thirty-one".

Divisors: 1 3 13 31 39 93 403 1209 1493 4479 6163 18489 19409 46283 58227 80119 138849 191053 240357 573159 601679 1805037 2483689 7451067 9201359 27604077 119617667 285242129 358853001 855726387 3708147677 11124443031