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1322010212220 = 2232543971760849
BaseRepresentation
bin10011001111001101111…
…100101111011101111100
311200101100011110002020100
4103033031330233131330
5133124434103242340
62451153442521100
7164340434252325
oct23171574573574
94611304402210
101322010212220
1146a730333425
1219426a666190
13978850b3759
1447db282744c
15245c63be830
hex133cdf2f77c

1322010212220 has 144 divisors (see below), whose sum is σ = 4145660719200. Its totient is φ = 340787478528.

The previous prime is 1322010212219. The next prime is 1322010212231. The reversal of 1322010212220 is 222120102231.

1322010212220 is a `hidden beast` number, since 1 + 3 + 220 + 10 + 212 + 220 = 666.

It is a super-3 number, since 3×13220102122203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1322010212193 and 1322010212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129645 + ... + 1631204.

It is an arithmetic number, because the mean of its divisors is an integer number (28789310550).

Almost surely, 21322010212220 is an apocalyptic number.

1322010212220 is a gapful number since it is divisible by the number (10) 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 1322010212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072830359600).

1322010212220 is an abundant number, since it is smaller than the sum of its proper divisors (2823650506980).

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

1322010212220 is a wasteful number, since it uses less digits than its factorization.

1322010212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761004 (or 1760999 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1322010212220 its reverse (222120102231), we get a palindrome (1544130314451).

The spelling of 1322010212220 in words is "one trillion, three hundred twenty-two billion, ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 97 129 172 180 194 215 258 291 387 388 430 485 516 582 645 774 860 873 970 1164 1290 1455 1548 1746 1935 1940 2580 2910 3492 3870 4171 4365 5820 7740 8342 8730 12513 16684 17460 20855 25026 37539 41710 50052 62565 75078 83420 125130 150156 187695 250260 375390 750780 1760849 3521698 5282547 7043396 8804245 10565094 15847641 17608490 21130188 26412735 31695282 35216980 52825470 63390564 75716507 79238205 105650940 151433014 158476410 170802353 227149521 302866028 316952820 341604706 378582535 454299042 512407059 681448563 683209412 757165070 854011765 908598084 1024814118 1135747605 1362897126 1514330140 1537221177 1708023530 2049628236 2271495210 2562035295 2725794252 3074442354 3407242815 3416047060 4542990420 5124070590 6148884708 6814485630 7344501179 7686105885 10248141180 13628971260 14689002358 15372211770 22033503537 29378004716 30744423540 36722505895 44067007074 66100510611 73445011790 88134014148 110167517685 132201021222 146890023580 220335035370 264402042444 330502553055 440670070740 661005106110 1322010212220