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1022201111200 = 25526072105027
BaseRepresentation
bin11101101111111111110…
…11110010001010100000
310121201110221201201122211
432313333323302022200
5113221431441024300
62101332005211504
7133565045040523
oct16677773621240
93551427651584
101022201111200
11364570973385
12146139100b94
13755159a3829
1437690bb8bba
151b8ca86d4ba
hexedffef22a0

1022201111200 has 72 divisors (see below), whose sum is σ = 2499560767872. Its totient is φ = 408206641920.

The previous prime is 1022201111189. The next prime is 1022201111213. The reversal of 1022201111200 is 21111022201.

It is a super-2 number, since 2×10222011112002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566914 + ... + 1538113.

It is an arithmetic number, because the mean of its divisors is an integer number (34716121776).

Almost surely, 21022201111200 is an apocalyptic number.

1022201111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022201111200 is an abundant number, since it is smaller than the sum of its proper divisors (1477359656672).

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

1022201111200 is a wasteful number, since it uses less digits than its factorization.

1022201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105654 (or 2105641 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022201111200 its reverse (21111022201), we get a palindrome (1043312133401).

The spelling of 1022201111200 in words is "one trillion, twenty-two billion, two hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 607 800 1214 2428 3035 4856 6070 9712 12140 15175 19424 24280 30350 48560 60700 97120 121400 242800 485600 2105027 4210054 8420108 10525135 16840216 21050270 33680432 42100540 52625675 67360864 84201080 105251350 168402160 210502700 336804320 421005400 842010800 1277751389 1684021600 2555502778 5111005556 6388756945 10222011112 12777513890 20444022224 25555027780 31943784725 40888044448 51110055560 63887569450 102220111120 127775138900 204440222240 255550277800 511100555600 1022201111200