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111014816 = 25111132791
BaseRepresentation
bin1101001110111…
…11001110100000
321201220010200212
412213133032200
5211404433231
615003233252
72515416233
oct647371640
9251803625
10111014816
1157735090
1231218828
1319ccc253
1410a5b41a
159b2d42b
hex69df3a0

111014816 has 48 divisors (see below), whose sum is σ = 240625728. Its totient is φ = 49996800.

The previous prime is 111014809. The next prime is 111014821. The reversal of 111014816 is 618410111.

It is a junction number, because it is equal to n+sod(n) for n = 111014791 and 111014800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38381 + ... + 41171.

It is an arithmetic number, because the mean of its divisors is an integer number (5013036).

Almost surely, 2111014816 is an apocalyptic number.

111014816 is a gapful number since it is divisible by the number (16) 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 111014816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120312864).

111014816 is an abundant number, since it is smaller than the sum of its proper divisors (129610912).

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

111014816 is a wasteful number, since it uses less digits than its factorization.

111014816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

The square root of 111014816 is about 10536.3568656343. The cubic root of 111014816 is about 480.6109350463.

Adding to 111014816 its reverse (618410111), we get a palindrome (729424927).

The spelling of 111014816 in words is "one hundred eleven million, fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 904 1243 1808 2486 2791 3616 4972 5582 9944 11164 19888 22328 30701 39776 44656 61402 89312 122804 245608 315383 491216 630766 982432 1261532 2523064 3469213 5046128 6938426 10092256 13876852 27753704 55507408 111014816