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203141200 = 24522631931
BaseRepresentation
bin11000001101110…
…11000001010000
3112011020122100011
430012323001100
5404001004300
632054004304
75014446253
oct1406730120
9464218304
10203141200
11a4738a99
1258046694
1333116cc2
141cd9d09a
1512c79eba
hexc1bb050

203141200 has 60 divisors (see below), whose sum is σ = 490156128. Its totient is φ = 80905600.

The previous prime is 203141173. The next prime is 203141203. The reversal of 203141200 is 2141302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203141203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 104235 + ... + 106165.

Almost surely, 2203141200 is an apocalyptic number.

203141200 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 203141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245078064).

203141200 is an abundant number, since it is smaller than the sum of its proper divisors (287014928).

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

203141200 is a wasteful number, since it uses less digits than its factorization.

203141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 203141200 is about 14252.7611360045. The cubic root of 203141200 is about 587.8492988468.

Adding to 203141200 its reverse (2141302), we get a palindrome (205282502).

The spelling of 203141200 in words is "two hundred three million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 400 526 1052 1315 1931 2104 2630 3862 4208 5260 6575 7724 9655 10520 13150 15448 19310 21040 26300 30896 38620 48275 52600 77240 96550 105200 154480 193100 386200 507853 772400 1015706 2031412 2539265 4062824 5078530 8125648 10157060 12696325 20314120 25392650 40628240 50785300 101570600 203141200