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10000200102012 = 2233463953209851
BaseRepresentation
bin1001000110000101101001…
…0111111111000001111100
31022102000021010202111012000
42101201122113333001330
52302320402211231022
633134010053542300
72051330165235141
oct221413227770174
938360233674160
1010000200102012
11320607428668a
121156132944990
1357702674a093
1426802593a3c8
151251dc7bc6ac
hex9185a5ff07c

10000200102012 has 96 divisors (see below), whose sum is σ = 26009829135360. Its totient is φ = 3322694390400.

The previous prime is 10000200101999. The next prime is 10000200102043. The reversal of 10000200102012 is 21020100200001.

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 = 10000200101985 and 10000200102003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47548887 + ... + 47758737.

It is an arithmetic number, because the mean of its divisors is an integer number (270935720160).

Almost surely, 210000200102012 is an apocalyptic number.

10000200102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000200102012 is an abundant number, since it is smaller than the sum of its proper divisors (16009629033348).

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

10000200102012 is a wasteful number, since it uses less digits than its factorization.

10000200102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211280 (or 211272 counting only the distinct ones).

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

Adding to 10000200102012 its reverse (21020100200001), we get a palindrome (31020300302013).

The spelling of 10000200102012 in words is "ten trillion, two hundred million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 463 926 953 1389 1852 1906 2778 2859 3812 4167 5556 5718 8334 8577 11436 12501 16668 17154 25002 25731 34308 50004 51462 102924 209851 419702 441239 629553 839404 882478 1259106 1323717 1764956 1888659 2518212 2647434 3777318 3971151 5294868 5665977 7554636 7942302 11331954 11913453 15884604 22663908 23826906 47653812 97161013 194322026 199988003 291483039 388644052 399976006 582966078 599964009 799952012 874449117 1165932156 1199928018 1748898234 1799892027 2399856036 2623347351 3497796468 3599784054 5246694702 5399676081 7199568108 10493389404 10799352162 21598704324 92594445389 185188890778 277783336167 370377781556 555566672334 833350008501 1111133344668 1666700017002 2500050025503 3333400034004 5000100051006 10000200102012