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21210002022200 = 2352532936829159
BaseRepresentation
bin1001101001010010101101…
…01000101101111100111000
32210002122201111201222200212
410310221112220231330320
510240001041004202300
6113035423532450252
74316241423351335
oct464512650557470
983078644658625
1021210002022200
11683812521a482
122466782919988
13bab12cb16474
145347d8cb398c
1526bac2bcd935
hex134a56a2df38

21210002022200 has 96 divisors (see below), whose sum is σ = 50415181034400. Its totient is φ = 8295514805760.

The previous prime is 21210002022197. The next prime is 21210002022203. The reversal of 21210002022200 is 222020001212.

It is an interprime number because it is at equal distance from previous prime (21210002022197) and next prime (21210002022203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210002022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308780 + ... + 6520379.

It is an arithmetic number, because the mean of its divisors is an integer number (525158135775).

Almost surely, 221210002022200 is an apocalyptic number.

21210002022200 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 21210002022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25207590517200).

21210002022200 is an abundant number, since it is smaller than the sum of its proper divisors (29205179012200).

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

21210002022200 is a wasteful number, since it uses less digits than its factorization.

21210002022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829521 (or 6829512 counting only the distinct ones).

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

Adding to 21210002022200 its reverse (222020001212), we get a palindrome (21432022023412).

The spelling of 21210002022200 in words is "twenty-one trillion, two hundred ten billion, two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 293 424 530 586 1060 1172 1325 1465 2120 2344 2650 2930 5300 5860 7325 10600 11720 14650 15529 29300 31058 58600 62116 77645 124232 155290 310580 388225 621160 776450 1552900 3105800 6829159 13658318 27316636 34145795 54633272 68291590 136583180 170728975 273166360 341457950 361945427 682915900 723890854 1365831800 1447781708 1809727135 2000943587 2895563416 3619454270 4001887174 7238908540 8003774348 9048635675 10004717935 14477817080 16007548696 18097271350 20009435870 36194542700 40018871740 50023589675 72389085400 80037743480 100047179350 106050010111 200094358700 212100020222 400188717400 424200040444 530250050555 848400080888 1060500101110 2121000202220 2651250252775 4242000404440 5302500505550 10605001011100 21210002022200