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1003200020 = 225241720753
BaseRepresentation
bin111011110010111…
…001111000010100
32120220200211201022
4323302321320110
54023304400040
6243314020312
733601026254
oct7362717024
92526624638
101003200020
1147530a029
1223bb77698
1312caba8a4
1497341964
155d1146b5
hex3bcb9e14

1003200020 has 24 divisors (see below), whose sum is σ = 2107693224. Its totient is φ = 401094656.

The previous prime is 1003199957. The next prime is 1003200049. The reversal of 1003200020 is 200023001.

It can be written as a sum of positive squares in 4 ways, for example, as 259983376 + 743216644 = 16124^2 + 27262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1003199980 and 1003200007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 37964 + ... + 58716.

It is an arithmetic number, because the mean of its divisors is an integer number (87820551).

Almost surely, 21003200020 is an apocalyptic number.

1003200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003200020 is an abundant number, since it is smaller than the sum of its proper divisors (1104493204).

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

1003200020 is a wasteful number, since it uses less digits than its factorization.

1003200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23179 (or 23177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1003200020 is about 31673.3329474497. The cubic root of 1003200020 is about 1001.0655375598.

Adding to 1003200020 its reverse (200023001), we get a palindrome (1203223021).

The spelling of 1003200020 in words is "one billion, three million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 2417 4834 9668 12085 20753 24170 41506 48340 83012 103765 207530 415060 50160001 100320002 200640004 250800005 501600010 1003200020