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202012022022000 = 2435333668670337
BaseRepresentation
bin101101111011101010010110…
…110100000001111101110000
3222111021011100011000220101120
4231323222112310001331300
5202434231110114201000
61553351013004102240
760356613140316441
oct5573522664017560
9874234304026346
10202012022022000
11594048a9a97203
121a7a7349534980
1388948623c8628
1437c5610dc52c8
151854be26dc6a0
hexb7ba96d01f70

202012022022000 has 80 divisors (see below), whose sum is σ = 651286759018272. Its totient is φ = 53869872537600.

The previous prime is 202012022021987. The next prime is 202012022022017. The reversal of 202012022022000 is 220220210202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16834329169 + ... + 16834341168.

Almost surely, 2202012022022000 is an apocalyptic number.

202012022022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012022022000 is an abundant number, since it is smaller than the sum of its proper divisors (449274736996272).

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

202012022022000 is a wasteful number, since it uses less digits than its factorization.

202012022022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33668670363 (or 33668670347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202012022022000 its reverse (220220210202), we get a palindrome (202232242232202).

The spelling of 202012022022000 in words is "two hundred two trillion, twelve billion, twenty-two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 33668670337 67337340674 101006011011 134674681348 168343351685 202012022022 269349362696 336686703370 404024044044 505030055055 538698725392 673373406740 808048088088 841716758425 1010060110110 1346746813480 1616096176176 1683433516850 2020120220220 2525150275275 2693493626960 3366867033700 4040240440440 4208583792125 5050300550550 6733734067400 8080480880880 8417167584250 10100601101100 12625751376375 13467468134800 16834335168500 20201202202200 25251502752750 33668670337000 40402404404400 50503005505500 67337340674000 101006011011000 202012022022000