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21222001020200 = 2352474794713277
BaseRepresentation
bin1001101001101001000011…
…10101010000110100101000
32210010210200201222020120012
410310310201311100310220
510240200124230121300
6113045130324551052
74320144653222651
oct464644165206450
983123621866505
1021222001020200
116842222357252
122468b71252488
13bac2c29b9b96
14535216710528
1526c076302435
hex134d21d50d28

21222001020200 has 96 divisors (see below), whose sum is σ = 50496175180800. Its totient is φ = 8290841015040.

The previous prime is 21222001020191. The next prime is 21222001020203. The reversal of 21222001020200 is 202010022212.

It is not an unprimeable number, because it can be changed into a prime (21222001020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145962 + ... + 6859238.

It is an arithmetic number, because the mean of its divisors is an integer number (526001824800).

Almost surely, 221222001020200 is an apocalyptic number.

21222001020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222001020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25248087590400).

21222001020200 is an abundant number, since it is smaller than the sum of its proper divisors (29274174160600).

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

21222001020200 is a wasteful number, since it uses less digits than its factorization.

21222001020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713819 (or 4713810 counting only the distinct ones).

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

Adding to 21222001020200 its reverse (202010022212), we get a palindrome (21424011042412).

The spelling of 21222001020200 in words is "twenty-one trillion, two hundred twenty-two billion, one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 479 940 958 1175 1880 1916 2350 2395 3832 4700 4790 9400 9580 11975 19160 22513 23950 45026 47900 90052 95800 112565 180104 225130 450260 562825 900520 1125650 2251300 4502600 4713277 9426554 18853108 23566385 37706216 47132770 94265540 117831925 188531080 221524019 235663850 443048038 471327700 886096076 942655400 1107620095 1772192152 2215240190 2257659683 4430480380 4515319366 5538100475 8860960760 9030638732 11076200950 11288298415 18061277464 22152401900 22576596830 44304803800 45153193660 56441492075 90306387320 106110005101 112882984150 212220010202 225765968300 424440020404 451531936600 530550025505 848880040808 1061100051010 2122200102020 2652750127525 4244400204040 5305500255050 10611000510100 21222001020200