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20331321000200 = 2352735474094269
BaseRepresentation
bin1001001111101110000010…
…01010101000000100001000
32122222122200201101012101022
410213313001022220010020
510131102021134001300
6111124025133012012
74165614042036530
oct447670112500410
978878621335338
1020331321000200
116529512739371
12234441a324008
13b4630a086152
145040810344c0
15253ce710b285
hex127dc12a8108

20331321000200 has 96 divisors (see below), whose sum is σ = 54038468251200. Its totient is φ = 6968771677440.

The previous prime is 20331321000197. The next prime is 20331321000217. The reversal of 20331321000200 is 200012313302.

It is a super-2 number, since 2×203313210002002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2918666 + ... + 7012934.

It is an arithmetic number, because the mean of its divisors is an integer number (562900710950).

Almost surely, 220331321000200 is an apocalyptic number.

20331321000200 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 20331321000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019234125600).

20331321000200 is an abundant number, since it is smaller than the sum of its proper divisors (33707147251000).

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

20331321000200 is a wasteful number, since it uses less digits than its factorization.

20331321000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097839 (or 4097830 counting only the distinct ones).

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

Adding to 20331321000200 its reverse (200012313302), we get a palindrome (20531333313502).

The spelling of 20331321000200 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3547 7094 14188 17735 24829 28376 35470 49658 70940 88675 99316 124145 141880 177350 198632 248290 354700 496580 620725 709400 993160 1241450 2482900 4094269 4965800 8188538 16377076 20471345 28659883 32754152 40942690 57319766 81885380 102356725 114639532 143299415 163770760 204713450 229279064 286598830 409426900 573197660 716497075 818853800 1146395320 1432994150 2865988300 5731976600 14522372143 29044744286 58089488572 72611860715 101656605001 116178977144 145223721430 203313210002 290447442860 363059303575 406626420004 508283025005 580894885720 726118607150 813252840008 1016566050010 1452237214300 2033132100020 2541415125025 2904474428600 4066264200040 5082830250050 10165660500100 20331321000200