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112501220 = 225131672591
BaseRepresentation
bin1101011010010…
…10000111100100
321211200122122212
412231022013210
5212300014340
615055142552
72534146616
oct655120744
9254618585
10112501220
115855a917
1231814a58
131a3cc990
1410d26db6
159d23a65
hex6b4a1e4

112501220 has 48 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 41274240.

The previous prime is 112501219. The next prime is 112501231. The reversal of 112501220 is 22105211.

It is a junction number, because it is equal to n+sod(n) for n = 112501195 and 112501204.

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, 42125 + ... + 44715.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2112501220 is an apocalyptic number.

112501220 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 112501220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064).

112501220 is an abundant number, since it is smaller than the sum of its proper divisors (143546908).

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

112501220 is a wasteful number, since it uses less digits than its factorization.

112501220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 112501220 is about 10606.6592289938. The cubic root of 112501220 is about 482.7464373292.

Adding to 112501220 its reverse (22105211), we get a palindrome (134606431).

The spelling of 112501220 in words is "one hundred twelve million, five hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 668 835 1670 2171 2591 3340 4342 5182 8684 10364 10855 12955 21710 25910 33683 43420 51820 67366 134732 168415 336830 432697 673660 865394 1730788 2163485 4326970 5625061 8653940 11250122 22500244 28125305 56250610 112501220