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1112125200 = 243521575903
BaseRepresentation
bin100001001001001…
…1010111100010000
32212111122210222020
41002102122330100
54234201001300
6302204411440
736362623344
oct10222327420
92774583866
101112125200
1152084713a
12270546b80
13149537964
14a79b7624
156797d8a0
hex4249af10

1112125200 has 120 divisors (see below), whose sum is σ = 3585806208. Its totient is φ = 294627840.

The previous prime is 1112125199. The next prime is 1112125207. The reversal of 1112125200 is 25212111.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1112125200.

It is not an unprimeable number, because it can be changed into a prime (1112125207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185449 + ... + 191351.

Almost surely, 21112125200 is an apocalyptic number.

1112125200 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 1112125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792903104).

1112125200 is an abundant number, since it is smaller than the sum of its proper divisors (2473681008).

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

1112125200 is a wasteful number, since it uses less digits than its factorization.

1112125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1112125200 is about 33348.5411974797. The cubic root of 1112125200 is about 1036.0591738337.

Adding to 1112125200 its reverse (25212111), we get a palindrome (1137337311).

The spelling of 1112125200 in words is "one billion, one hundred twelve million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 157 200 240 300 314 400 471 600 628 785 942 1200 1256 1570 1884 2355 2512 3140 3768 3925 4710 5903 6280 7536 7850 9420 11775 11806 12560 15700 17709 18840 23550 23612 29515 31400 35418 37680 47100 47224 59030 62800 70836 88545 94200 94448 118060 141672 147575 177090 188400 236120 283344 295150 354180 442725 472240 590300 708360 885450 926771 1180600 1416720 1770900 1853542 2361200 2780313 3541800 3707084 4633855 5560626 7083600 7414168 9267710 11121252 13901565 14828336 18535420 22242504 23169275 27803130 37070840 44485008 46338550 55606260 69507825 74141680 92677100 111212520 139015650 185354200 222425040 278031300 370708400 556062600 1112125200