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22012022002100 = 22521327916487171
BaseRepresentation
bin1010000000101000100101…
…10000001001000110110100
32212221022212122211100011212
411000110102300021012310
510341121110113031400
6114452103332220552
74431213265611524
oct500242260110664
985838778740155
1022012022002100
117017278627a49
1225760b176a758
13c38956414400
1456155d615684
152828b34cd335
hex140512c091b4

22012022002100 has 108 divisors (see below), whose sum is σ = 52377766983360. Its totient is φ = 8024635382400.

The previous prime is 22012022002073. The next prime is 22012022002151. The reversal of 22012022002100 is 120022021022.

It is a super-2 number, since 2×220120220021002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6908486 + ... + 9578685.

It is an arithmetic number, because the mean of its divisors is an integer number (484979323920).

Almost surely, 222012022002100 is an apocalyptic number.

22012022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012022002100 is an abundant number, since it is smaller than the sum of its proper divisors (30365744981260).

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

22012022002100 is a wasteful number, since it uses less digits than its factorization.

22012022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487290 (or 16487270 counting only the distinct ones).

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

Adding to 22012022002100 its reverse (120022021022), we get a palindrome (22132044023122).

The spelling of 22012022002100 in words is "twenty-two trillion, twelve billion, twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 169 260 316 325 338 395 650 676 790 845 1027 1300 1580 1690 1975 2054 3380 3950 4108 4225 5135 7900 8450 10270 13351 16900 20540 25675 26702 51350 53404 66755 102700 133510 267020 333775 667550 1335100 16487171 32974342 65948684 82435855 164871710 214333223 329743420 412179275 428666446 824358550 857332892 1071666115 1302486509 1648717100 2143332230 2604973018 2786331899 4286664460 5209946036 5358330575 5572663798 6512432545 10716661150 11145327596 13024865090 13931659495 16932324617 21433322300 26049730180 27863318990 32562162725 33864649234 55726637980 65124325450 67729298468 69658297475 84661623085 130248650900 139316594950 169323246170 220120220021 278633189900 338646492340 423308115425 440240440042 846616230850 880480880084 1100601100105 1693232461700 2201202200210 4402404400420 5503005500525 11006011001050 22012022002100