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20330203000 = 2353311973329
BaseRepresentation
bin10010111011110001…
…100100011101111000
31221110211212022121111
4102323301210131320
5313114012444000
613201202450104
71316541605602
oct227361443570
957424768544
1020330203000
118692962468
123b34663934
131bbcc1bc23
14dac0bc172
157dec43cba
hex4bbc64778

20330203000 has 128 divisors (see below), whose sum is σ = 49371379200. Its totient is φ = 7827456000.

The previous prime is 20330202973. The next prime is 20330203001. The reversal of 20330203000 is 30203302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330203001) 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 31 ways as a sum of consecutive naturals, for example, 6105336 + ... + 6108664.

It is an arithmetic number, because the mean of its divisors is an integer number (385713900).

Almost surely, 220330203000 is an apocalyptic number.

20330203000 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 20330203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24685689600).

20330203000 is an abundant number, since it is smaller than the sum of its proper divisors (29041176200).

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

20330203000 is a wasteful number, since it uses less digits than its factorization.

20330203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 20330203000 its reverse (30203302), we get a palindrome (20360406302).

The spelling of 20330203000 in words is "twenty billion, three hundred thirty million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 197 200 248 250 310 394 500 620 775 788 985 1000 1240 1550 1576 1970 3100 3329 3875 3940 4925 6107 6200 6658 7750 7880 9850 12214 13316 15500 16645 19700 24428 24625 26632 30535 31000 33290 39400 48856 49250 61070 66580 83225 98500 103199 122140 133160 152675 166450 197000 206398 244280 305350 332900 412796 416125 515995 610700 655813 665800 763375 825592 832250 1031990 1221400 1311626 1526750 1664500 2063980 2579975 2623252 3053500 3279065 3329000 4127960 5159950 5246504 6107000 6558130 10319900 12899875 13116260 16395325 20330203 20639800 25799750 26232520 32790650 40660406 51599500 65581300 81320812 81976625 101651015 103199000 131162600 162641624 163953250 203302030 327906500 406604060 508255075 655813000 813208120 1016510150 2033020300 2541275375 4066040600 5082550750 10165101500 20330203000