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1131200112 = 243719374789
BaseRepresentation
bin100001101101100…
…1011111001110000
32220211112220211110
41003123023321300
54304041400422
6304125313320
740014020340
oct10333137160
92824486743
101131200112
11530595429
12276a05840
13150485ca3
14aa340d20
156949a60c
hex436cbe70

1131200112 has 160 divisors (see below), whose sum is σ = 3611276800. Its totient is φ = 297851904.

The previous prime is 1131200087. The next prime is 1131200123. The reversal of 1131200112 is 2110021311.

It is a super-2 number, since 2×11312001122 = 2559227386777625088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233814 + ... + 238602.

It is an arithmetic number, because the mean of its divisors is an integer number (22570480).

Almost surely, 21131200112 is an apocalyptic number.

1131200112 is a gapful number since it is divisible by the number (12) 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 1131200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805638400).

1131200112 is an abundant number, since it is smaller than the sum of its proper divisors (2480076688).

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

1131200112 is a wasteful number, since it uses less digits than its factorization.

1131200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131200112 is about 33633.3184803403. The cubic root of 1131200112 is about 1041.9490422974.

Adding to 1131200112 its reverse (2110021311), we get a palindrome (3241221423).

The spelling of 1131200112 in words is "one billion, one hundred thirty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 37 38 42 48 56 57 74 76 84 111 112 114 133 148 152 168 222 228 259 266 296 304 336 399 444 456 518 532 592 703 777 798 888 912 1036 1064 1406 1554 1596 1776 2072 2109 2128 2812 3108 3192 4144 4218 4789 4921 5624 6216 6384 8436 9578 9842 11248 12432 14367 14763 16872 19156 19684 28734 29526 33523 33744 38312 39368 57468 59052 67046 76624 78736 90991 100569 114936 118104 134092 177193 181982 201138 229872 236208 268184 272973 354386 363964 402276 531579 536368 545946 636937 708772 727928 804552 1063158 1091892 1240351 1273874 1417544 1455856 1609104 1910811 2126316 2183784 2480702 2547748 2835088 3366667 3721053 3821622 4252632 4367568 4961404 5095496 6733334 7442106 7643244 8505264 9922808 10100001 10190992 13466668 14884212 15286488 19845616 20200002 23566669 26933336 29768424 30572976 40400004 47133338 53866672 59536848 70700007 80800008 94266676 141400014 161600016 188533352 282800028 377066704 565600056 1131200112