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20303133300 = 22335216346133
BaseRepresentation
bin10010111010001010…
…010011101001110100
31221101221221000222000
4102322022103221310
5313040100231200
613154354335300
71316062533312
oct227212235164
957357830860
1020303133300
11867965360a
123b2758a530
131bb7431958
14da86730b2
157dc698300
hex4ba293a74

20303133300 has 144 divisors (see below), whose sum is σ = 65672671680. Its totient is φ = 5380836480.

The previous prime is 20303133299. The next prime is 20303133317. The reversal of 20303133300 is 333130302.

20303133300 is a `hidden beast` number, since 20 + 3 + 0 + 313 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 417034 + ... + 463166.

It is an arithmetic number, because the mean of its divisors is an integer number (456060220).

Almost surely, 220303133300 is an apocalyptic number.

20303133300 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 20303133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32836335840).

20303133300 is an abundant number, since it is smaller than the sum of its proper divisors (45369538380).

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

20303133300 is a wasteful number, since it uses less digits than its factorization.

20303133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46319 (or 46306 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20303133300 its reverse (333130302), we get a palindrome (20636263602).

The spelling of 20303133300 in words is "twenty billion, three hundred three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 163 180 225 270 300 326 450 489 540 652 675 815 900 978 1350 1467 1630 1956 2445 2700 2934 3260 4075 4401 4890 5868 7335 8150 8802 9780 12225 14670 16300 17604 22005 24450 29340 36675 44010 46133 48900 73350 88020 92266 110025 138399 146700 184532 220050 230665 276798 415197 440100 461330 553596 691995 830394 922660 1153325 1245591 1383990 1660788 2075985 2306650 2491182 2767980 3459975 4151970 4613300 4982364 6227955 6919950 7519679 8303940 10379925 12455910 13839900 15039358 20759850 22559037 24911820 30078716 31139775 37598395 41519700 45118074 62279550 67677111 75196790 90236148 112795185 124559100 135354222 150393580 187991975 203031333 225590370 270708444 338385555 375983950 406062666 451180740 563975925 676771110 751967900 812125332 1015156665 1127951850 1353542220 1691927775 2030313330 2255903700 3383855550 4060626660 5075783325 6767711100 10151566650 20303133300