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10000200012 = 2231137255339
BaseRepresentation
bin10010101000000111…
…01111000101001100
3221210221010210111020
421110003233011030
5130440022400022
64332150554140
7502546204035
oct112403570514
927727123436
1010000200012
114271941310
121b31068950
13c34a5a51a
146ac1b5a8c
153d7dec35c
hex2540ef14c

10000200012 has 72 divisors (see below), whose sum is σ = 26162095680. Its totient is φ = 2948408640.

The previous prime is 10000199987. The next prime is 10000200017. The reversal of 10000200012 is 21000200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10000200017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153039 + ... + 208377.

It is an arithmetic number, because the mean of its divisors is an integer number (363362440).

Almost surely, 210000200012 is an apocalyptic number.

10000200012 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 10000200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081047840).

10000200012 is an abundant number, since it is smaller than the sum of its proper divisors (16161895668).

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

10000200012 is a wasteful number, since it uses less digits than its factorization.

10000200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55431 (or 55392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10000200012 its reverse (21000200001), we get a palindrome (31000400013).

It can be divided in two parts, 10000 and 200012, that added together give a palindrome (210012).

The spelling of 10000200012 in words is "ten billion, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1369 1628 2442 2738 4107 4884 5476 8214 15059 16428 30118 45177 55339 60236 90354 110678 166017 180708 221356 332034 608729 664068 1217458 1826187 2047543 2434916 3652374 4095086 6142629 7304748 8190172 12285258 22522973 24570516 45045946 67568919 75759091 90091892 135137838 151518182 227277273 270275676 303036364 454554546 833350001 909109092 1666700002 2500050003 3333400004 5000100006 10000200012