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21220220321200 = 245279780098311
BaseRepresentation
bin1001101001100101101111…
…01100011011110110110000
32210010122002122021100202101
410310302313230123312300
510240133002400234300
6113044233514230144
74320052561433455
oct464626754336660
983118078240671
1021220220321200
11684149918578a
122468754a25354
13bac09aac7034
145350c801d82c
1526bebed0cb6a
hex134cb7b1bdb0

21220220321200 has 120 divisors (see below), whose sum is σ = 51058062387360. Its totient is φ = 8475359692800.

The previous prime is 21220220321171. The next prime is 21220220321243. The reversal of 21220220321200 is 212302202212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553265045 + ... + 2553273355.

It is an arithmetic number, because the mean of its divisors is an integer number (425483853228).

Almost surely, 221220220321200 is an apocalyptic number.

21220220321200 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 21220220321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529031193680).

21220220321200 is an abundant number, since it is smaller than the sum of its proper divisors (29837842066160).

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

21220220321200 is a wasteful number, since it uses less digits than its factorization.

21220220321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17135 (or 17124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21220220321200 its reverse (212302202212), we get a palindrome (21432522523412).

The spelling of 21220220321200 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 797 1594 3188 3985 6376 7970 8009 8311 12752 15940 16018 16622 19925 31880 32036 33244 39850 40045 41555 63760 64072 66488 79700 80090 83110 128144 132976 159400 160180 166220 200225 207775 318800 320360 332440 400450 415550 640720 664880 800900 831100 1601800 1662200 3203600 3324400 6383173 6623867 12766346 13247734 25532692 26495468 31915865 33119335 51065384 52990936 63831730 66238670 66562799 102130768 105981872 127663460 132477340 133125598 159579325 165596675 255326920 264954680 266251196 319158650 331193350 332813995 510653840 529909360 532502392 638317300 662386700 665627990 1065004784 1276634600 1324773400 1331255980 1664069975 2553269200 2649546800 2662511960 3328139950 5325023920 6656279900 13312559800 26625119600 53050550803 106101101606 212202203212 265252754015 424404406424 530505508030 848808812848 1061011016060 1326263770075 2122022032120 2652527540150 4244044064240 5305055080300 10610110160600 21220220321200