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20330133300 = 22375292959
BaseRepresentation
bin10010111011110001…
…010011011100110100
31221110211201210000000
4102323301103130310
5313114003231200
613201201151300
71316541165441
oct227361233464
957424653000
1020330133300
118692915064
123b3462b530
131bbcbc6299
14dac0a09c8
157dec2d300
hex4bbc53734

20330133300 has 144 divisors (see below), whose sum is σ = 66165209600. Its totient is φ = 5421310560.

The previous prime is 20330133259. The next prime is 20330133301. The reversal of 20330133300 is 333103302.

20330133300 is a `hidden beast` number, since 2 + 0 + 330 + 1 + 3 + 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 not an unprimeable number, because it can be changed into a prime (20330133301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172221 + ... + 265179.

Almost surely, 220330133300 is an apocalyptic number.

20330133300 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 20330133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33082604800).

20330133300 is an abundant number, since it is smaller than the sum of its proper divisors (45835076300).

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

20330133300 is an equidigital number, since it uses as much as digits as its factorization.

20330133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92994 (or 92969 counting only the distinct ones).

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

Adding to 20330133300 its reverse (333103302), we get a palindrome (20663236602).

The spelling of 20330133300 in words is "twenty billion, three hundred thirty 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 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2187 2430 2700 2916 3645 4050 4374 4860 6075 7290 8100 8748 10935 12150 14580 18225 21870 24300 36450 43740 54675 72900 92959 109350 185918 218700 278877 371836 464795 557754 836631 929590 1115508 1394385 1673262 1859180 2323975 2509893 2788770 3346524 4183155 4647950 5019786 5577540 6971925 7529679 8366310 9295900 10039572 12549465 13943850 15059358 16732620 20915775 22589037 25098930 27887700 30118716 37648395 41831550 45178074 50197860 62747325 67767111 75296790 83663100 90356148 112945185 125494650 135534222 150593580 188241975 203301333 225890370 250989300 271068444 338835555 376483950 406602666 451780740 564725925 677671110 752967900 813205332 1016506665 1129451850 1355342220 1694177775 2033013330 2258903700 3388355550 4066026660 5082533325 6776711100 10165066650 20330133300