[go: up one dir, main page]

Search a number
-
+
111424104 = 233211269523
BaseRepresentation
bin1101010010000…
…11001001101000
321202122221010200
412221003021220
5212011032404
615020112200
72522042421
oct651031150
9252587120
10111424104
1157994640
1231395660
131a11362c
1410b26648
159bae839
hex6a43268

111424104 has 96 divisors (see below), whose sum is σ = 331063200. Its totient is φ = 33575040.

The previous prime is 111424067. The next prime is 111424123. The reversal of 111424104 is 401424111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212787 + ... + 213309.

It is an arithmetic number, because the mean of its divisors is an integer number (3448575).

Almost surely, 2111424104 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 111424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165531600).

111424104 is an abundant number, since it is smaller than the sum of its proper divisors (219639096).

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

111424104 is a wasteful number, since it uses less digits than its factorization.

111424104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 111424104 is about 10555.7616494500. The cubic root of 111424104 is about 481.2008474228.

Adding to 111424104 its reverse (401424111), we get a palindrome (512848215).

The spelling of 111424104 in words is "one hundred eleven million, four hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 269 396 523 538 792 807 1046 1076 1569 1614 2092 2152 2421 2959 3138 3228 4184 4707 4842 5753 5918 6276 6456 8877 9414 9684 11506 11836 12552 17259 17754 18828 19368 23012 23672 26631 34518 35508 37656 46024 51777 53262 69036 71016 103554 106524 138072 140687 207108 213048 281374 414216 422061 562748 844122 1125496 1266183 1547557 1688244 2532366 3095114 3376488 4642671 5064732 6190228 9285342 10129464 12380456 13928013 18570684 27856026 37141368 55712052 111424104