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21210002112200 = 23521114596607889
BaseRepresentation
bin1001101001010010101101…
…01001000011111011001000
32210002122201111220120011012
410310221112221003323020
510240001041020042300
6113035423534423052
74316241424204616
oct464512651037310
983078644816135
1021210002112200
116838125281060
122466782961a88
13bab12cb48415
145347d8cd86b6
1526bac2bea435
hex134a56a43ec8

21210002112200 has 96 divisors (see below), whose sum is σ = 53833158252000. Its totient is φ = 7707440563200.

The previous prime is 21210002112181. The next prime is 21210002112253. The reversal of 21210002112200 is 221120001212.

It is a super-2 number, since 2×212100021122002 (a number of 27 digits) contains 22 as substring.

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, 94145 + ... + 6513744.

It is an arithmetic number, because the mean of its divisors is an integer number (560762065125).

Almost surely, 221210002112200 is an apocalyptic number.

21210002112200 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 21210002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916579126000).

21210002112200 is an abundant number, since it is smaller than the sum of its proper divisors (32623156139800).

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

21210002112200 is a wasteful number, since it uses less digits than its factorization.

21210002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609375 (or 6609366 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210002112200 its reverse (221120001212), we get a palindrome (21431122113412).

The spelling of 21210002112200 in words is "twenty-one trillion, two hundred ten billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1459 2200 2918 5836 7295 11672 14590 16049 29180 32098 36475 58360 64196 72950 80245 128392 145900 160490 291800 320980 401225 641960 802450 1604900 3209800 6607889 13215778 26431556 33039445 52863112 66078890 72686779 132157780 145373558 165197225 264315560 290747116 330394450 363433895 581494232 660788900 726867790 1321577800 1453735580 1817169475 2907471160 3634338950 7268677900 9640910051 14537355800 19281820102 38563640204 48204550255 77127280408 96409100510 106050010561 192818201020 212100021122 241022751275 385636402040 424200042244 482045502550 530250052805 848400084488 964091005100 1060500105610 1928182010200 2121000211220 2651250264025 4242000422440 5302500528050 10605001056100 21210002112200