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212210002022000 = 24534710667211639
BaseRepresentation
bin110000010000000011111101…
…110010011100111001110000
31000211101002002220120012122112
4300100003331302130321300
5210303322041004201000
62031155532403424452
762461444451140163
oct6020037562347160
91024332086505575
10212210002022000
1161686835924534
121b973878385128
139154418215538
143a59039c11ada
151980108591235
hexc100fdc9ce70

212210002022000 has 160 divisors (see below), whose sum is σ = 524092915906560. Its totient is φ = 83069777414400.

The previous prime is 212210002021937. The next prime is 212210002022003. The reversal of 212210002022000 is 220200012212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210002022003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002592181 + ... + 1002803819.

It is an arithmetic number, because the mean of its divisors is an integer number (3275580724416).

Almost surely, 2212210002022000 is an apocalyptic number.

212210002022000 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 212210002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262046457953280).

212210002022000 is an abundant number, since it is smaller than the sum of its proper divisors (311882913884560).

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

212210002022000 is a wasteful number, since it uses less digits than its factorization.

212210002022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222376 (or 222360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212210002022000 its reverse (220200012212), we get a palindrome (212430202034212).

The spelling of 212210002022000 in words is "two hundred twelve trillion, two hundred ten billion, two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 10667 11750 18800 21334 23500 42668 47000 53335 85336 94000 106670 170672 211639 213340 266675 423278 426680 501349 533350 846556 853360 1002698 1058195 1066700 1333375 1693112 2005396 2116390 2133400 2506745 2666750 3386224 4010792 4232780 4266800 5013490 5290975 5333500 8021584 8465560 9947033 10026980 10581950 10667000 12533725 16931120 19894066 20053960 21163900 21334000 25067450 26454875 39788132 40107920 42327800 49735165 50134900 52909750 62668625 79576264 84655600 99470330 100269800 105819500 125337250 159152528 198940660 200539600 211639000 248675825 250674500 397881320 423278000 497351650 501349000 795762640 994703300 1002698000 1243379125 1989406600 2257553213 2486758250 3978813200 4515106426 4973516500 9030212852 9947033000 11287766065 18060425704 19894066000 22575532130 36120851408 45151064260 56438830325 90302128520 106105001011 112877660650 180604257040 212210002022 225755321300 282194151625 424420004044 451510642600 530525005055 564388303250 848840008088 903021285200 1061050010110 1128776606500 1697680016176 2122100020220 2257553213000 2652625025275 4244200040440 4515106426000 5305250050550 8488400080880 10610500101100 13263125126375 21221000202200 26526250252750 42442000404400 53052500505500 106105001011000 212210002022000