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11124111424 = 26317389863
BaseRepresentation
bin10100101110000110…
…00111100001000000
31001201020222102002211
422113003013201000
5140240233031144
65035500151504
7542444246506
oct122703074100
931636872084
1011124111424
1147992a8618
1221a5538594
131083860a6a
1477757a676
15451908034
hex2970c7840

11124111424 has 112 divisors (see below), whose sum is σ = 23385231360. Its totient is φ = 5243166720.

The previous prime is 11124111409. The next prime is 11124111461. The reversal of 11124111424 is 42411142111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11124111395 and 11124111404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12889617 + ... + 12890479.

Almost surely, 211124111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692615680).

11124111424 is an abundant number, since it is smaller than the sum of its proper divisors (12261119936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11124111424 is an equidigital number, since it uses as much as digits as its factorization.

11124111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 11124111424 its reverse (42411142111), we get a palindrome (53535253535).

The spelling of 11124111424 in words is "eleven billion, one hundred twenty-four million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 73 89 124 146 178 248 292 356 496 584 712 863 992 1168 1424 1726 1984 2263 2336 2759 2848 3452 4526 4672 5518 5696 6497 6904 9052 11036 12994 13808 18104 22072 25988 26753 27616 36208 44144 51976 53506 55232 62999 72416 76807 88288 103952 107012 125998 144832 153614 176576 201407 207904 214024 251996 307228 402814 415808 428048 503992 614456 805628 856096 1007984 1228912 1611256 1712192 1952969 2015968 2381017 2457824 3222512 3905938 4031936 4762034 4915648 5606911 6445024 7811876 9524068 11213822 12890048 15623752 19048136 22427644 31247504 38096272 44855288 62495008 76192544 89710576 124990016 152385088 173814241 179421152 347628482 358842304 695256964 1390513928 2781027856 5562055712 11124111424