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112303230010200 = 233252401155587739
BaseRepresentation
bin11001100010001110100010…
…001000011100001101011000
3112201122002021012011011211200
4121202032202020130031120
5104204434003340311300
61034503220332154200
732440432505550525
oct3142164210341530
9481562235134750
10112303230010200
1132868594668799
1210719150608960
134a881c28ac768
141da37108d014c
15ceb3e8729200
hex6623a221c358

112303230010200 has 144 divisors (see below), whose sum is σ = 378092211096600. Its totient is φ = 29872845696000.

The previous prime is 112303230010187. The next prime is 112303230010207. The reversal of 112303230010200 is 2010032303211.

112303230010200 is a `hidden beast` number, since 1 + 1 + 230 + 3 + 230 + 0 + 1 + 0 + 200 = 666.

It is a super-2 number, since 2×1123032300102002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112303230010207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77072070 + ... + 78515669.

Almost surely, 2112303230010200 is an apocalyptic number.

112303230010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112303230010200 is an abundant number, since it is smaller than the sum of its proper divisors (265788981086400).

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

112303230010200 is a wasteful number, since it uses less digits than its factorization.

112303230010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155588162 (or 155588150 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112303230010200 its reverse (2010032303211), we get a palindrome (114313262313411).

The spelling of 112303230010200 in words is "one hundred twelve trillion, three hundred three billion, two hundred thirty million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 401 450 600 802 900 1203 1604 1800 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 10025 12030 14436 16040 18045 20050 24060 28872 30075 36090 40100 48120 60150 72180 80200 90225 120300 144360 180450 240600 360900 721800 155587739 311175478 466763217 622350956 777938695 933526434 1244701912 1400289651 1555877390 1867052868 2333816085 2800579302 3111754780 3734105736 3889693475 4667632170 5601158604 6223509560 7001448255 7779386950 9335264340 11202317208 11669080425 14002896510 15558773900 18670528680 23338160850 28005793020 31117547800 35007241275 46676321700 56011586040 62390683339 70014482550 93352643400 124781366678 140028965100 187172050017 249562733356 280057930200 311953416695 374344100034 499125466712 561516150051 623906833390 748688200068 935860250085 1123032300102 1247813666780 1497376400136 1559767083475 1871720500170 2246064600204 2495627333560 2807580750255 3119534166950 3743441000340 4492129200408 4679301250425 5615161500510 6239068333900 7486882000680 9358602500850 11230323001020 12478136667800 14037903751275 18717205001700 22460646002040 28075807502550 37434410003400 56151615005100 112303230010200