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203320131200 = 2752449141509
BaseRepresentation
bin1011110101011011010…
…0101111111010000000
3201102210201200211021122
42331112310233322000
511312344423144300
6233223132011412
720455314412544
oct2752664577200
9642721624248
10203320131200
1179255a0598a
12334a3600b68
131623312c554
149bab01ba24
15544eba1c85
hex2f56d2fe80

203320131200 has 96 divisors (see below), whose sum is σ = 503386447500. Its totient is φ = 81146347520.

The previous prime is 203320131199. The next prime is 203320131229. The reversal of 203320131200 is 2131023302.

It can be written as a sum of positive squares in 6 ways, for example, as 92313884224 + 111006246976 = 303832^2 + 333176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1366046 + ... + 1507554.

Almost surely, 2203320131200 is an apocalyptic number.

203320131200 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 203320131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693223750).

203320131200 is an abundant number, since it is smaller than the sum of its proper divisors (300066316300).

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

203320131200 is a wasteful number, since it uses less digits than its factorization.

203320131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141982 (or 141965 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 203320131200 its reverse (2131023302), we get a palindrome (205451154502).

The spelling of 203320131200 in words is "two hundred three billion, three hundred twenty million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 449 640 800 898 1600 1796 2245 3200 3592 4490 7184 8980 11225 14368 17960 22450 28736 35920 44900 57472 71840 89800 141509 143680 179600 283018 287360 359200 566036 707545 718400 1132072 1415090 1436800 2264144 2830180 3537725 4528288 5660360 7075450 9056576 11320720 14150900 18113152 22641440 28301800 45282880 56603600 63537541 90565760 113207200 127075082 226414400 254150164 317687705 452828800 508300328 635375410 1016600656 1270750820 1588438525 2033201312 2541501640 3176877050 4066402624 5083003280 6353754100 8132805248 10166006560 12707508200 20332013120 25415016400 40664026240 50830032800 101660065600 203320131200