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111141072 = 2434712251
BaseRepresentation
bin1101001111111…
…10000011010000
321202010112220000
412213332003100
5211423003242
615010050000
72516453310
oct647760320
9252115800
10111141072
1157810a29
1231279900
131a044863
1410a91440
159b55a4c
hex69fe0d0

111141072 has 100 divisors (see below), whose sum is σ = 367658016. Its totient is φ = 31752000.

The previous prime is 111141049. The next prime is 111141091. The reversal of 111141072 is 270141111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2947 + ... + 15197.

Almost surely, 2111141072 is an apocalyptic number.

111141072 is a gapful number since it is divisible by the number (12) 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 111141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183829008).

111141072 is an abundant number, since it is smaller than the sum of its proper divisors (256516944).

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

111141072 is a wasteful number, since it uses less digits than its factorization.

111141072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12278 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 111141072 is about 10542.3466078478. The cubic root of 111141072 is about 480.7930639649.

Adding to 111141072 its reverse (270141111), we get a palindrome (381282183).

The spelling of 111141072 in words is "one hundred eleven million, one hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 12251 24502 36753 49004 73506 85757 98008 110259 147012 171514 196016 220518 257271 294024 330777 343028 441036 514542 588048 661554 686056 771813 882072 992331 1029084 1323108 1372112 1543626 1764144 1984662 2058168 2315439 2646216 3087252 3969324 4116336 4630878 5292432 6174504 6946317 7938648 9261756 12349008 13892634 15877296 18523512 27785268 37047024 55570536 111141072