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1116112200 = 233527237963
BaseRepresentation
bin100001010000110…
…1000010101001000
32212210011101002220
41002201220111020
54241211042300
6302430054040
736441540300
oct10241502510
92783141086
101116112200
1152301a685
1227194a320
1314a302628
14a8334600
1567eb9da0
hex42868548

1116112200 has 144 divisors (see below), whose sum is σ = 4024943280. Its totient is φ = 255104640.

The previous prime is 1116112199. The next prime is 1116112201. The reversal of 1116112200 is 22116111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1116112199) and next prime (1116112201).

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 1116112200.

It is not an unprimeable number, because it can be changed into a prime (1116112201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10419 + ... + 48381.

It is an arithmetic number, because the mean of its divisors is an integer number (27950995).

Almost surely, 21116112200 is an apocalyptic number.

1116112200 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 1116112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012471640).

1116112200 is an abundant number, since it is smaller than the sum of its proper divisors (2908831080).

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

1116112200 is a wasteful number, since it uses less digits than its factorization.

1116112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37996 (or 37980 counting only the distinct ones).

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

The square root of 1116112200 is about 33408.2654443478. The cubic root of 1116112200 is about 1037.2957976203.

Adding to 1116112200 its reverse (22116111), we get a palindrome (1138228311).

The spelling of 1116112200 in words is "one billion, one hundred sixteen million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 37963 75926 113889 151852 189815 227778 265741 303704 379630 455556 531482 569445 759260 797223 911112 949075 1062964 1138890 1328705 1518520 1594446 1860187 1898150 2125928 2277780 2657410 2847225 3188892 3720374 3796300 3986115 4555560 5314820 5580561 5694450 6377784 6643525 7440748 7592600 7972230 9300935 10629640 11161122 11388900 13287050 14881496 15944460 18601870 19930575 22322244 22777800 26574100 27902805 31888920 37203740 39861150 44644488 46504675 53148200 55805610 74407480 79722300 93009350 111611220 139514025 159444600 186018700 223222440 279028050 372037400 558056100 1116112200