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212121000221100 = 223521973589187821
BaseRepresentation
bin110000001110110001000100…
…110111100001100110101100
31000211001120101012222021021020
4300032301010313201212230
5210300342302024033400
62031051013042134140
762452144062254115
oct6016610467414654
91024046335867236
10212121000221100
1161652013707183
121b95a579951350
139148c0314c819
143a549d571320c
15197cb49b8c2a0
hexc0ec44de19ac

212121000221100 has 72 divisors (see below), whose sum is σ = 616852175840208. Its totient is φ = 56278465017600.

The previous prime is 212121000221063. The next prime is 212121000221177. The reversal of 212121000221100 is 1122000121212.

It is a super-3 number, since 3×2121210002211003 (a number of 44 digits) contains 333 as substring.

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 212121000221100.

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, 1794534811 + ... + 1794653010.

It is an arithmetic number, because the mean of its divisors is an integer number (8567391331114).

Almost surely, 2212121000221100 is an apocalyptic number.

212121000221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121000221100 is an abundant number, since it is smaller than the sum of its proper divisors (404731175619108).

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

212121000221100 is a wasteful number, since it uses less digits than its factorization.

212121000221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589188035 (or 3589188028 counting only the distinct ones).

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

Adding to 212121000221100 its reverse (1122000121212), we get a palindrome (213243000342312).

The spelling of 212121000221100 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 3589187821 7178375642 10767563463 14356751284 17945939105 21535126926 35891878210 43070253852 53837817315 71783756420 89729695525 107675634630 179459391050 215351269260 269189086575 358918782100 538378173150 707070000737 1076756346300 1414140001474 2121210002211 2828280002948 3535350003685 4242420004422 7070700007370 8484840008844 10606050011055 14141400014740 17676750018425 21212100022110 35353500036850 42424200044220 53030250055275 70707000073700 106060500110550 212121000221100