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2112031200 = 253521018713
BaseRepresentation
bin111110111100011…
…0000100111100000
312110012011022010210
41331320300213200
513311134444300
6545324054120
7103223653236
oct17570604740
95405138123
102112031200
11994206334
124ab394340
13278741106
141606dc956
15c5642050
hex7de309e0

2112031200 has 144 divisors (see below), whose sum is σ = 6943524336. Its totient is φ = 557568000.

The previous prime is 2112031139. The next prime is 2112031211. The reversal of 2112031200 is 21302112.

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 23 ways as a sum of consecutive naturals, for example, 238044 + ... + 246756.

It is an arithmetic number, because the mean of its divisors is an integer number (48218919).

Almost surely, 22112031200 is an apocalyptic number.

2112031200 is a gapful number since it is divisible by the number (20) 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 2112031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471762168).

2112031200 is an abundant number, since it is smaller than the sum of its proper divisors (4831493136).

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

2112031200 is a wasteful number, since it uses less digits than its factorization.

2112031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112031200 is about 45956.8406224797. The cubic root of 2112031200 is about 1283.0200498379.

Adding to 2112031200 its reverse (21302112), we get a palindrome (2133333312).

The spelling of 2112031200 in words is "two billion, one hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 101 120 150 160 200 202 240 300 303 400 404 480 505 600 606 800 808 1010 1200 1212 1515 1616 2020 2400 2424 2525 3030 3232 4040 4848 5050 6060 7575 8080 8713 9696 10100 12120 15150 16160 17426 20200 24240 26139 30300 34852 40400 43565 48480 52278 60600 69704 80800 87130 104556 121200 130695 139408 174260 209112 217825 242400 261390 278816 348520 418224 435650 522780 653475 697040 836448 871300 880013 1045560 1306950 1394080 1742600 1760026 2091120 2613900 2640039 3485200 3520052 4182240 4400065 5227800 5280078 6970400 7040104 8800130 10455600 10560156 13200195 14080208 17600260 20911200 21120312 22000325 26400390 28160416 35200520 42240624 44000650 52800780 66000975 70401040 84481248 88001300 105601560 132001950 140802080 176002600 211203120 264003900 352005200 422406240 528007800 704010400 1056015600 2112031200