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111120680 = 23511713557
BaseRepresentation
bin1101001111110…
…01000100101000
321202002111220202
412213321010220
5211421330210
615005411332
72516336666
oct647710450
9252074822
10111120680
11577a7680
1231269b48
131a0384a8
1410a87c36
159b4e9a5
hex69f9128

111120680 has 64 divisors (see below), whose sum is σ = 276670080. Its totient is φ = 39827200.

The previous prime is 111120679. The next prime is 111120703. The reversal of 111120680 is 86021111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29462 + ... + 33018.

It is an arithmetic number, because the mean of its divisors is an integer number (4322970).

Almost surely, 2111120680 is an apocalyptic number.

111120680 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 111120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138335040).

111120680 is an abundant number, since it is smaller than the sum of its proper divisors (165549400).

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

111120680 is a wasteful number, since it uses less digits than its factorization.

111120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 111120680 is about 10541.3794163762. The cubic root of 111120680 is about 480.7636570989.

Adding to 111120680 its reverse (86021111), we get a palindrome (197141791).

The spelling of 111120680 in words is "one hundred eleven million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3557 3905 6248 7114 7810 14228 15620 17785 28456 31240 35570 39127 71140 78254 142280 156508 195635 252547 313016 391270 505094 782540 1010188 1262735 1565080 2020376 2525470 2778017 5050940 5556034 10101880 11112068 13890085 22224136 27780170 55560340 111120680