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111143424 = 293710337
BaseRepresentation
bin1101001111111…
…10101000000000
321202010200010010
412213332220000
5211423042144
615010104520
72516463210
oct647765000
9252120103
10111143424
1157812777
123127b140
131a045952
1410a92240
159b565b9
hex69fea00

111143424 has 80 divisors (see below), whose sum is σ = 338424768. Its totient is φ = 31752192.

The previous prime is 111143411. The next prime is 111143453. The reversal of 111143424 is 424341111.

111143424 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111143424.

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 7 ways as a sum of consecutive naturals, for example, 5584 + ... + 15920.

Almost surely, 2111143424 is an apocalyptic number.

111143424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169212384).

111143424 is an abundant number, since it is smaller than the sum of its proper divisors (227281344).

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

111143424 is an equidigital number, since it uses as much as digits as its factorization.

111143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365 (or 10349 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 111143424 is about 10542.4581573749. The cubic root of 111143424 is about 480.7964555023.

Adding to 111143424 its reverse (424341111), we get a palindrome (535484535).

The spelling of 111143424 in words is "one hundred eleven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10337 10752 20674 31011 41348 62022 72359 82696 124044 144718 165392 217077 248088 289436 330784 434154 496176 578872 661568 868308 992352 1157744 1323136 1736616 1984704 2315488 2646272 3473232 3969408 4630976 5292544 6946464 7938816 9261952 13892928 15877632 18523904 27785856 37047808 55571712 111143424