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203000020 = 22541281881
BaseRepresentation
bin11000001100110…
…00100011010100
3112010222110200021
430012120203110
5403432000040
632050554524
75013320536
oct1406304324
9463873607
10203000020
11a4651a13
1257b98a44
1333097972
141cd63856
1512c4d24a
hexc1988d4

203000020 has 48 divisors (see below), whose sum is σ = 438749136. Its totient is φ = 78848000.

The previous prime is 202999991. The next prime is 203000051. The reversal of 203000020 is 20000302.

203000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36796356 + 166203664 = 6066^2 + 12892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202999967 and 203000012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229980 + ... + 230860.

It is an arithmetic number, because the mean of its divisors is an integer number (9140607).

Almost surely, 2203000020 is an apocalyptic number.

203000020 is a gapful number since it is divisible by the number (20) 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 203000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219374568).

203000020 is an abundant number, since it is smaller than the sum of its proper divisors (235749116).

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

203000020 is a wasteful number, since it uses less digits than its factorization.

203000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 203000020 is about 14247.8075506374. The cubic root of 203000020 is about 587.7130852220.

Adding to 203000020 its reverse (20000302), we get a palindrome (223000322).

The spelling of 203000020 in words is "two hundred three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 41 82 164 205 281 410 562 820 881 1124 1405 1762 2810 3524 4405 5620 8810 11521 17620 23042 36121 46084 57605 72242 115210 144484 180605 230420 247561 361210 495122 722420 990244 1237805 2475610 4951220 10150001 20300002 40600004 50750005 101500010 203000020