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112120022021100 = 223522919167473083
BaseRepresentation
bin11001011111100011111010…
…000101011011001111101100
3112200222120101010000000211220
4121133203322011123033230
5104143433301114133400
61034243121013143340
732421255444414522
oct3137437205331754
9480876333000756
10112120022021100
11327a791a516955
12106a974062ab50
134a73b46460212
141d988d0a2a312
15ce67745957a0
hex65f8fa15b3ec

112120022021100 has 144 divisors (see below), whose sum is σ = 337343828613120. Its totient is φ = 28716543699200.

The previous prime is 112120022021093. The next prime is 112120022021101. The reversal of 112120022021100 is 1120220021211.

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 112120022021100.

It is not an unprimeable number, because it can be changed into a prime (112120022021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32074842 + ... + 35398241.

It is an arithmetic number, because the mean of its divisors is an integer number (2342665476480).

Almost surely, 2112120022021100 is an apocalyptic number.

112120022021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120022021100 is an abundant number, since it is smaller than the sum of its proper divisors (225223806592020).

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

112120022021100 is a wasteful number, since it uses less digits than its factorization.

112120022021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67473320 (or 67473313 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112120022021100 its reverse (1120220021211), we get a palindrome (113240242042311).

The spelling of 112120022021100 in words is "one hundred twelve trillion, one hundred twenty billion, twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 191 290 300 348 382 435 573 580 725 764 870 955 1146 1450 1740 1910 2175 2292 2865 2900 3820 4350 4775 5539 5730 8700 9550 11078 11460 14325 16617 19100 22156 27695 28650 33234 55390 57300 66468 83085 110780 138475 166170 276950 332340 415425 553900 830850 1661700 67473083 134946166 202419249 269892332 337365415 404838498 674730830 809676996 1012096245 1349461660 1686827075 1956719407 2024192490 3373654150 3913438814 4048384980 5060481225 5870158221 6747308300 7826877628 9783597035 10120962450 11740316442 12887358853 19567194070 20241924900 23480632884 25774717706 29350791105 38662076559 39134388140 48917985175 51549435412 58701582210 64436794265 77324153118 97835970350 117403164420 128873588530 146753955525 154648306236 193310382795 195671940700 257747177060 293507911050 322183971325 373733406737 386620765590 587015822100 644367942650 747466813474 773241531180 966551913975 1121200220211 1288735885300 1494933626948 1868667033685 1933103827950 2242400440422 3737334067370 3866207655900 4484800880844 5606001101055 7474668134740 9343335168425 11212002202110 18686670336850 22424004404220 28030005505275 37373340673700 56060011010550 112120022021100