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212011004820 = 223573107452377
BaseRepresentation
bin1100010101110011010…
…1110011001110010100
3202021020102002221121210
43011130311303032110
511433144304123240
6241221351341420
721213554543526
oct3053465631624
9667212087553
10212011004820
1181a0575996a
123510a081870
1316cb9837a14
14a393365a16
1557acb6a780
hex315cd73394

212011004820 has 96 divisors (see below), whose sum is σ = 607388035968. Its totient is φ = 55240538112.

The previous prime is 212011004819. The next prime is 212011004831. The reversal of 212011004820 is 28400110212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242472 + ... + 694848.

It is an arithmetic number, because the mean of its divisors is an integer number (6326958708).

Almost surely, 2212011004820 is an apocalyptic number.

212011004820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011004820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303694017984).

212011004820 is an abundant number, since it is smaller than the sum of its proper divisors (395377031148).

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

212011004820 is a wasteful number, since it uses less digits than its factorization.

212011004820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452569 (or 452567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 212011004820 in words is "two hundred twelve billion, eleven million, four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 107 146 214 219 292 321 365 428 438 535 642 730 876 1070 1095 1284 1460 1605 2140 2190 3210 4380 6420 7811 15622 23433 31244 39055 46866 78110 93732 117165 156220 234330 452377 468660 904754 1357131 1809508 2261885 2714262 4523770 5428524 6785655 9047540 13571310 27142620 33023521 48404339 66047042 96808678 99070563 132094084 145213017 165117605 193617356 198141126 242021695 290426034 330235210 396282252 484043390 495352815 580852068 660470420 726065085 968086780 990705630 1452130170 1981411260 2904260340 3533516747 7067033494 10600550241 14134066988 17667583735 21201100482 35335167470 42402200964 53002751205 70670334940 106005502410 212011004820