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211000020121100 = 225271926958976443
BaseRepresentation
bin101111111110011101000101…
…001111110011011000001100
31000200002101221012010222211202
4233332131011033303120030
5210124011020122333400
62024432023204205032
762305151124523220
oct5776350517633014
91020071835128752
10211000020121100
116125a673665571
121b7b9273999778
1390972a79094c2
143a16653b16780
15195d8dc3c04d5
hexbfe7453f360c

211000020121100 has 144 divisors (see below), whose sum is σ = 552868776633600. Its totient is φ = 68280565489920.

The previous prime is 211000020121069. The next prime is 211000020121123. The reversal of 211000020121100 is 1121020000112.

It is a super-2 number, since 2×2110000201211002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25910522 + ... + 33065921.

It is an arithmetic number, because the mean of its divisors is an integer number (3839366504400).

Almost surely, 2211000020121100 is an apocalyptic number.

211000020121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000020121100 is an abundant number, since it is smaller than the sum of its proper divisors (341868756512500).

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

211000020121100 is a wasteful number, since it uses less digits than its factorization.

211000020121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58976752 (or 58976745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211000020121100 its reverse (1121020000112), we get a palindrome (212121040121212).

The spelling of 211000020121100 in words is "two hundred eleven trillion, twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 269 350 380 475 532 538 665 700 950 1076 1330 1345 1883 1900 2660 2690 3325 3766 5111 5380 6650 6725 7532 9415 10222 13300 13450 18830 20444 25555 26900 35777 37660 47075 51110 71554 94150 102220 127775 143108 178885 188300 255550 357770 511100 715540 894425 1788850 3577700 58976443 117952886 235905772 294882215 412835101 589764430 825670202 1120552417 1179528860 1474411075 1651340404 2064175505 2241104834 2948822150 4128351010 4482209668 5602762085 5897644300 7843866919 8256702020 10320877525 11205524170 15687733838 15864663167 20641755050 22411048340 28013810425 31375467676 31729326334 39219334595 41283510100 56027620850 63458652668 78438669190 79323315835 111052642169 112055241700 156877338380 158646631670 196096672975 222105284338 301428600173 317293263340 392193345950 396616579175 444210568676 555263210845 602857200346 784386691900 793233158350 1110526421690 1205714400692 1507143000865 1586466316700 2110000201211 2221052843380 2776316054225 3014286001730 4220000402422 5552632108450 6028572003460 7535715004325 8440000804844 10550001006055 11105264216900 15071430008650 21100002012110 30142860017300 42200004024220 52750005030275 105500010060550 211000020121100