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1002000200 = 235237913219
BaseRepresentation
bin111011101110010…
…100111101001000
32120211102212212112
4323232110331020
54023003001300
6243232201452
733554601245
oct7356247510
92524385775
101002000200
1147466a643
1223b699288
1312c78a736
149710c5cc
155ce78e35
hex3bb94f48

1002000200 has 48 divisors (see below), whose sum is σ = 2335974000. Its totient is φ = 399712320.

The previous prime is 1002000193. The next prime is 1002000217. The reversal of 1002000200 is 20002001.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 11 ways as a sum of consecutive naturals, for example, 69191 + ... + 82409.

It is an arithmetic number, because the mean of its divisors is an integer number (48666125).

Almost surely, 21002000200 is an apocalyptic number.

1002000200 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 1002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167987000).

1002000200 is an abundant number, since it is smaller than the sum of its proper divisors (1333973800).

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

1002000200 is a wasteful number, since it uses less digits than its factorization.

1002000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1002000200 is about 31654.3867418088. The cubic root of 1002000200 is about 1000.6662892933. Note that the first 3 decimals are identical.

Adding to 1002000200 its reverse (20002001), we get a palindrome (1022002201).

The spelling of 1002000200 in words is "one billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 379 758 1516 1895 3032 3790 7580 9475 13219 15160 18950 26438 37900 52876 66095 75800 105752 132190 264380 330475 528760 660950 1321900 2643800 5010001 10020002 20040004 25050005 40080008 50100010 100200020 125250025 200400040 250500050 501000100 1002000200