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21220021222200 = 23325290203130693
BaseRepresentation
bin1001101001100101010111…
…10100111011101100111000
32210010121120202122002021100
410310302223310323230320
510240132100413102300
6113044202043011400
74320044623221063
oct464625364735470
983117522562240
1021220021222200
1168413a6858759
1224686ba209b60
13bac068796b88
145350a97d38da
1526beac5d0700
hex134cabd3bb38

21220021222200 has 144 divisors (see below), whose sum is σ = 71265239926920. Its totient is φ = 5658566296320.

The previous prime is 21220021222187. The next prime is 21220021222217. The reversal of 21220021222200 is 222212002212.

21220021222200 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 21 + 222 + 200 = 666.

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

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, 162300054 + ... + 162430746.

Almost surely, 221220021222200 is an apocalyptic number.

21220021222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220021222200 is an abundant number, since it is smaller than the sum of its proper divisors (50045218704720).

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

21220021222200 is a wasteful number, since it uses less digits than its factorization.

21220021222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220918 (or 220906 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21220021222200 its reverse (222212002212), we get a palindrome (21442233224412).

The spelling of 21220021222200 in words is "twenty-one trillion, two hundred twenty billion, twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 90203 130693 180406 261386 270609 360812 392079 451015 522772 541218 653465 721624 784158 811827 902030 1045544 1082436 1176237 1306930 1353045 1568316 1623654 1804060 1960395 2164872 2255075 2352474 2613860 2706090 3136632 3247308 3267325 3608120 3920790 4059135 4510150 4704948 5227720 5412180 5881185 6494616 6534650 6765225 7841580 8118270 9020300 9409896 9801975 10824360 11762370 13069300 13530450 15683160 16236540 18040600 19603950 20295675 23524740 26138600 27060900 29405925 32473080 39207900 40591350 47049480 54121800 58811850 78415800 81182700 117623700 162365400 235247400 11788900679 23577801358 35366702037 47155602716 58944503395 70733404074 94311205432 106100106111 117889006790 141466808148 176833510185 212200212222 235778013580 282933616296 294722516975 353667020370 424400424444 471556027160 530500530555 589445033950 707334040740 848800848888 884167550925 1061001061110 1178890067900 1414668081480 1768335101850 2122002122220 2357780135800 2652502652775 3536670203700 4244004244440 5305005305550 7073340407400 10610010611100 21220021222200