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1012003000200 = 2335521910311063
BaseRepresentation
bin11101011101000000001…
…01000100111110001000
310120202011020012000100000
432232200011010332020
5113040040232001300
62052524024243000
7133054243366503
oct16564005047610
93522136160300
101012003000200
11360208346675
12144171910460
137457bc40b1a
1436da460613a
151b4d03cac00
hexeba0144f88

1012003000200 has 576 divisors, whose sum is σ = 3717112089600. Its totient is φ = 255175660800.

The previous prime is 1012003000171. The next prime is 1012003000223. The reversal of 1012003000200 is 20003002101.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 952024869 + ... + 952025931.

It is an arithmetic number, because the mean of its divisors is an integer number (6453319600).

Almost surely, 21012003000200 is an apocalyptic number.

1012003000200 is a gapful number since it is divisible by the number (10) 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 1012003000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858556044800).

1012003000200 is an abundant number, since it is smaller than the sum of its proper divisors (2705109089400).

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

1012003000200 is a wasteful number, since it uses less digits than its factorization.

1012003000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1012003000200 its reverse (20003002101), we get a palindrome (1032006002301).

The spelling of 1012003000200 in words is "one trillion, twelve billion, three million, two hundred", and thus it is an aban number.