Search a number
-
+
111304424 = 237111011789
BaseRepresentation
bin1101010001001…
…01111011101000
321202102211222002
412220211323220
5211443220144
615013350132
72521033460
oct650457350
9252384862
10111304424
1157912730
1231338348
131a0a100a
1410ad4ba0
159b8914e
hex6a25ee8

111304424 has 64 divisors (see below), whose sum is σ = 262915200. Its totient is φ = 42912000.

The previous prime is 111304421. The next prime is 111304433. The reversal of 111304424 is 424403111.

It is a junction number, because it is equal to n+sod(n) for n = 111304396 and 111304405.

It is not an unprimeable number, because it can be changed into a prime (111304421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61322 + ... + 63110.

It is an arithmetic number, because the mean of its divisors is an integer number (4108050).

Almost surely, 2111304424 is an apocalyptic number.

111304424 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 111304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131457600).

111304424 is an abundant number, since it is smaller than the sum of its proper divisors (151610776).

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

111304424 is a wasteful number, since it uses less digits than its factorization.

111304424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 111304424 is about 10550.0911844401. The cubic root of 111304424 is about 481.0285006661.

Adding to 111304424 its reverse (424403111), we get a palindrome (535707535).

The spelling of 111304424 in words is "one hundred eleven million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1414 1789 2222 2828 3578 4444 5656 7156 7777 8888 12523 14312 15554 19679 25046 31108 39358 50092 62216 78716 100184 137753 157432 180689 275506 361378 551012 722756 1102024 1264823 1445512 1987579 2529646 3975158 5059292 7950316 10118584 13913053 15900632 27826106 55652212 111304424