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211020200021200 = 24529744633121853
BaseRepresentation
bin101111111110101111111000…
…000100000000110011010000
31000200011100000120012010122011
4233332233320010000303100
5210124323332201134300
62024445201441352304
762306464163041213
oct5776577004006320
91020140016163564
10211020200021200
1161268189699159
121b801166038694
1390991726516ab
143a17609c6b77a
15195e1bdd24eba
hexbfebf8100cd0

211020200021200 has 120 divisors (see below), whose sum is σ = 512218266979608. Its totient is φ = 83535336407040.

The previous prime is 211020200021143. The next prime is 211020200021237. The reversal of 211020200021200 is 2120002020112.

It is a happy number.

211020200021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 754771738176 + 210265428283024 = 868776^2 + 14500532^2 .

It is a congruent number.

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, 1731699474 + ... + 1731821326.

Almost surely, 2211020200021200 is an apocalyptic number.

211020200021200 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 211020200021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256109133489804).

211020200021200 is an abundant number, since it is smaller than the sum of its proper divisors (301198066958408).

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

211020200021200 is a wasteful number, since it uses less digits than its factorization.

211020200021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166601 (or 166590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211020200021200 its reverse (2120002020112), we get a palindrome (213140202041312).

The spelling of 211020200021200 in words is "two hundred eleven trillion, twenty billion, two hundred million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 38800 44633 89266 121853 178532 223165 243706 357064 446330 487412 609265 714128 892660 974824 1115825 1218530 1785320 1949648 2231650 2437060 3046325 3570640 4329401 4463300 4874120 6092650 8658802 8926600 9748240 11819741 12185300 17317604 17853200 21647005 23639482 24370600 34635208 43294010 47278964 48741200 59098705 69270416 86588020 94557928 108235025 118197410 173176040 189115856 216470050 236394820 295493525 346352080 432940100 472789640 590987050 865880200 945579280 1181974100 1731760400 2363948200 4727896400 5438664949 10877329898 21754659796 27193324745 43509319592 54386649490 87018639184 108773298980 135966623725 217546597960 271933247450 435093195920 527550500053 543866494900 1055101000106 1087732989800 2110202000212 2175465979600 2637752500265 4220404000424 5275505000530 8440808000848 10551010001060 13188762501325 21102020002120 26377525002650 42204040004240 52755050005300 105510100010600 211020200021200