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10000200001212 = 22326783283176509
BaseRepresentation
bin1001000110000101101001…
…0111100110011010111100
31022102000021010120100220200
42101201122113212122330
52302320402200014322
633134010051443500
72051330164335231
oct221413227463274
938360233510820
1010000200001212
113206074217983
1211561328b6590
13577026713235
14268025911788
151251dc79c8ac
hex9185a5e66bc

10000200001212 has 144 divisors (see below), whose sum is σ = 26056570001280. Its totient is φ = 3232604225664.

The previous prime is 10000200001201. The next prime is 10000200001217. The reversal of 10000200001212 is 21210000200001.

10000200001212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000200001194 and 10000200001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000200001217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56567214 + ... + 56743722.

Almost surely, 210000200001212 is an apocalyptic number.

10000200001212 is a gapful number since it is divisible by the number (12) 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 10000200001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028285000640).

10000200001212 is an abundant number, since it is smaller than the sum of its proper divisors (16056370000068).

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

10000200001212 is a wasteful number, since it uses less digits than its factorization.

10000200001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176952 (or 176947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000200001212 its reverse (21210000200001), we get a palindrome (31210200201213).

It can be divided in two parts, 10000200001 and 212, that multiplied together give a palindrome (2120042400212).

The spelling of 10000200001212 in words is "ten trillion, two hundred million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 83 134 166 201 249 268 283 332 402 498 566 603 747 804 849 996 1132 1206 1494 1698 2412 2547 2988 3396 5094 5561 10188 11122 16683 18961 22244 23489 33366 37922 46978 50049 56883 66732 70467 75844 93956 100098 113766 140934 170649 176509 200196 211401 227532 281868 341298 353018 422802 529527 682596 706036 845604 1059054 1573763 1588581 2118108 3147526 3177162 4721289 6295052 6354324 9442578 11826103 14163867 14650247 18885156 23652206 28327734 29300494 35478309 43950741 47304412 49952047 56655468 58600988 70956618 87901482 99904094 106434927 131852223 141913236 149856141 175802964 199808188 212869854 263704446 299712282 425739708 449568423 527408892 599424564 899136846 981566549 1798273692 1963133098 2944699647 3346787149 3926266196 4146019901 5889399294 6693574298 8292039802 8834098941 10040361447 11778798588 12438059703 13387148596 16584079604 17668197882 20080722894 24876119406 30121084341 35336395764 37314179109 40161445788 49752238812 60242168682 74628358218 120484337364 149256716436 277783333367 555566666734 833350000101 1111133333468 1666700000202 2500050000303 3333400000404 5000100000606 10000200001212