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203431300 = 225231137479
BaseRepresentation
bin11000010000000…
…01110110000100
3112011210101021121
430020001312010
5404034300200
632104123324
75020065112
oct1410016604
9464711247
10203431300
11a4916a46
1258166544
13331b9067
141d036ab2
1512cd5e1a
hexc201d84

203431300 has 72 divisors (see below), whose sum is σ = 459970560. Its totient is φ = 78009600.

The previous prime is 203431273. The next prime is 203431357. The reversal of 203431300 is 3134302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424461 + ... + 424939.

It is an arithmetic number, because the mean of its divisors is an integer number (6388480).

Almost surely, 2203431300 is an apocalyptic number.

203431300 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 203431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229985280).

203431300 is an abundant number, since it is smaller than the sum of its proper divisors (256539260).

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

203431300 is a wasteful number, since it uses less digits than its factorization.

203431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 203431300 is about 14262.9344806740. The cubic root of 203431300 is about 588.1289958707.

Adding to 203431300 its reverse (3134302), we get a palindrome (206565602).

The spelling of 203431300 in words is "two hundred three million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 137 155 274 310 479 548 620 685 775 958 1370 1550 1916 2395 2740 3100 3425 4247 4790 6850 8494 9580 11975 13700 14849 16988 21235 23950 29698 42470 47900 59396 65623 74245 84940 106175 131246 148490 212350 262492 296980 328115 371225 424700 656230 742450 1312460 1484900 1640575 2034313 3281150 4068626 6562300 8137252 10171565 20343130 40686260 50857825 101715650 203431300