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111130080 = 25351271823
BaseRepresentation
bin1101001111110…
…11010111100000
321202002222210220
412213323113200
5211422130310
615005523040
72516406255
oct647732740
9252088726
10111130080
1157803746
1231273480
131a03c859
1410a8b42c
159b52670
hex69fb5e0

111130080 has 96 divisors (see below), whose sum is σ = 353009664. Its totient is φ = 29385216.

The previous prime is 111130079. The next prime is 111130121. The reversal of 111130080 is 80031111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60049 + ... + 61871.

It is an arithmetic number, because the mean of its divisors is an integer number (3677184).

Almost surely, 2111130080 is an apocalyptic number.

111130080 is a gapful number since it is divisible by the number (10) 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 111130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

111130080 is an abundant number, since it is smaller than the sum of its proper divisors (241879584).

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

111130080 is a wasteful number, since it uses less digits than its factorization.

111130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 111130080 is about 10541.8252688991. The cubic root of 111130080 is about 480.7772130843. Note that the first 3 decimals are identical.

Adding to 111130080 its reverse (80031111), we get a palindrome (191161191).

The spelling of 111130080 in words is "one hundred eleven million, one hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1823 1905 2032 2540 3048 3646 3810 4064 5080 5469 6096 7292 7620 9115 10160 10938 12192 14584 15240 18230 20320 21876 27345 29168 30480 36460 43752 54690 58336 60960 72920 87504 109380 145840 175008 218760 231521 291680 437520 463042 694563 875040 926084 1157605 1389126 1852168 2315210 2778252 3472815 3704336 4630420 5556504 6945630 7408672 9260840 11113008 13891260 18521680 22226016 27782520 37043360 55565040 111130080