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21210212111220 = 223251113997657061
BaseRepresentation
bin1001101001010011000110…
…01010001001001101110100
32210002200021011001121122200
410310221203022021031310
510240002003300024340
6113035500435424500
74316246554155636
oct464514312111564
983080234047580
1021210212111220
116838222873470
122466821155130
13bab1644c39b2
14534818b60a56
1526bad637c330
hex134a63289374

21210212111220 has 144 divisors (see below), whose sum is σ = 70236698313600. Its totient is φ = 5138193542400.

The previous prime is 21210212111113. The next prime is 21210212111227. The reversal of 21210212111220 is 2211121201212.

21210212111220 is a `hidden beast` number, since 2 + 1 + 210 + 21 + 211 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210212111193 and 21210212111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210212111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058511 + ... + 6598550.

It is an arithmetic number, because the mean of its divisors is an integer number (487754849400).

Almost surely, 221210212111220 is an apocalyptic number.

21210212111220 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 21210212111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35118349156800).

21210212111220 is an abundant number, since it is smaller than the sum of its proper divisors (49026486202380).

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

21210212111220 is a wasteful number, since it uses less digits than its factorization.

21210212111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658486 (or 7658481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21210212111220 its reverse (2211121201212), we get a palindrome (23421333312432).

The spelling of 21210212111220 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1399 1980 2798 4197 5596 6995 8394 12591 13990 15389 16788 20985 25182 27980 30778 41970 46167 50364 61556 62955 76945 83940 92334 125910 138501 153890 184668 230835 251820 277002 307780 461670 554004 692505 923340 1385010 2770020 7657061 15314122 22971183 30628244 38285305 45942366 68913549 76570610 84227671 91884732 114855915 137827098 153141220 168455342 229711830 252683013 275654196 336910684 344567745 421138355 459423660 505366026 689135490 758049039 842276710 1010732052 1263415065 1378270980 1516098078 1684553420 2526830130 3032196156 3790245195 5053660260 7580490390 10712228339 15160980780 21424456678 32136685017 42848913356 53561141695 64273370034 96410055051 107122283390 117834511729 128546740068 160683425085 192820110102 214244566780 235669023458 321366850170 353503535187 385640220204 471338046916 482050275255 589172558645 642733700340 707007070374 964100550510 1060510605561 1178345117290 1414014140748 1767517675935 1928201101020 2121021211122 2356690234580 3535035351870 4242042422244 5302553027805 7070070703740 10605106055610 21210212111220