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21222021200000 = 275553055053
BaseRepresentation
bin1001101001101001000110…
…00010001111100010000000
32210010210202010221111001012
410310310203002033202000
510240200144411400000
6113045132325300052
74320145316601125
oct464644302174200
983123663844035
1021222021200000
11684223278a675
122468b77b64628
13bac2c6c340aa
1453521928474c
1526c077e8b735
hex134d2308f880

21222021200000 has 96 divisors (see below), whose sum is σ = 52844425435620. Its totient is φ = 8488808320000.

The previous prime is 21222021199913. The next prime is 21222021200033. The reversal of 21222021200000 is 212022212.

It can be written as a sum of positive squares in 6 ways, for example, as 4072550019136 + 17149471180864 = 2018056^2 + 4141192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26127527 + ... + 26927526.

Almost surely, 221222021200000 is an apocalyptic number.

21222021200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222021200000 is an abundant number, since it is smaller than the sum of its proper divisors (31622404235620).

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

21222021200000 is an frugal number, since it uses more digits than its factorization.

21222021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53055092 (or 53055060 counting only the distinct ones).

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

Adding to 21222021200000 its reverse (212022212), we get a palindrome (21222233222212).

The spelling of 21222021200000 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 53055053 106110106 212220212 265275265 424440424 530550530 848880848 1061101060 1326376325 1697761696 2122202120 2652752650 3395523392 4244404240 5305505300 6631881625 6791046784 8488808480 10611010600 13263763250 16977616960 21222021200 26527526500 33159408125 33955233920 42444042400 53055053000 66318816250 84888084800 106110106000 132637632500 165797040625 169776169600 212220212000 265275265000 331594081250 424440424000 530550530000 663188162500 848880848000 1061101060000 1326376325000 2122202120000 2652752650000 4244404240000 5305505300000 10611010600000 21222021200000