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212330212322100 = 223522106733596021
BaseRepresentation
bin110000010001110011111010…
…111000010110101100110100
31000211210120101120110011122120
4300101303322320112230310
5210312304233323301400
62031331053011355540
762503231412626335
oct6021637270265464
91024716346404576
10212330212322100
1161722812467194
121b9930265b2bb0
139162864b52222
143a60ba105c28c
1519832e1c37ca0
hexc11cfae16b34

212330212322100 has 72 divisors (see below), whose sum is σ = 614371260618528. Its totient is φ = 56618700585600.

The previous prime is 212330212322083. The next prime is 212330212322153. The reversal of 212330212322100 is 1223212033212.

212330212322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10477911 + ... + 23118110.

Almost surely, 2212330212322100 is an apocalyptic number.

212330212322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212330212322100 is an abundant number, since it is smaller than the sum of its proper divisors (402041048296428).

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

212330212322100 is a wasteful number, since it uses less digits than its factorization.

212330212322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33617105 (or 33617098 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212330212322100 its reverse (1223212033212), we get a palindrome (213553424355312).

The spelling of 212330212322100 in words is "two hundred twelve trillion, three hundred thirty billion, two hundred twelve million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21067 42134 63201 84268 105335 126402 210670 252804 316005 421340 526675 632010 1053350 1264020 1580025 2106700 3160050 6320100 33596021 67192042 100788063 134384084 167980105 201576126 335960210 403152252 503940315 671920420 839900525 1007880630 1679801050 2015761260 2519701575 3359602100 5039403150 10078806300 707767374407 1415534748814 2123302123221 2831069497628 3538836872035 4246604246442 7077673744070 8493208492884 10616510616105 14155347488140 17694184360175 21233021232210 35388368720350 42466042464420 53082553080525 70776737440700 106165106161050 212330212322100