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212341211420100 = 223527175947933093
BaseRepresentation
bin110000010001111110001010…
…011110100101010111000100
31000211211121210010012020120120
4300101332022132211113010
5210312444300110420400
62031340112244301540
762504101111464420
oct6021761236452704
91024747703166516
10212341211420100
1161727447139324
121b9951960a18b0
1391638c8822139
143a61525b75b80
151983737699ca0
hexc11f8a7a55c4

212341211420100 has 144 divisors (see below), whose sum is σ = 743444053285248. Its totient is φ = 45680126146560.

The previous prime is 212341211420081. The next prime is 212341211420137. The reversal of 212341211420100 is 1024112143212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2973930847 + ... + 2974002246.

It is an arithmetic number, because the mean of its divisors is an integer number (5162805925592).

Almost surely, 2212341211420100 is an apocalyptic number.

212341211420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212341211420100 is an abundant number, since it is smaller than the sum of its proper divisors (531102841865148).

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

212341211420100 is a wasteful number, since it uses less digits than its factorization.

212341211420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947933134 (or 5947933127 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 212341211420100 its reverse (1024112143212), we get a palindrome (213365323563312).

The spelling of 212341211420100 in words is "two hundred twelve trillion, three hundred forty-one billion, two hundred eleven million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 5947933093 11895866186 17843799279 23791732372 29739665465 35687598558 41635531651 59479330930 71375197116 83271063302 89218996395 101114862581 118958661860 124906594953 148698327325 166542126604 178437992790 202229725162 208177658255 249813189906 297396654650 303344587743 356875985580 404459450324 416355316510 446094981975 499626379812 505574312905 594793309300 606689175486 624532974765 707804038067 832710633020 892189963950 1011148625810 1040888291275 1213378350972 1249065949530 1415608076134 1516722938715 1784379927900 2022297251620 2081776582550 2123412114201 2498131899060 2527871564525 2831216152268 3033445877430 3122664873825 3539020190335 4163553165100 4246824228402 5055743129050 6066891754860 6245329747650 7078040380670 7583614693575 8493648456804 10111486258100 10617060571005 12490659495300 14156080761340 15167229387150 17695100951675 21234121142010 30334458774300 35390201903350 42468242284020 53085302855025 70780403806700 106170605710050 212341211420100