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201020020220300 = 2252313171220316763
BaseRepresentation
bin101101101101001110011110…
…111001011110000110001100
3222100202022210211122001100012
4231231032132321132012030
5202322003000134022200
61551311153350452352
760225134332165001
oct5555163671360614
9870668724561305
10201020020220300
1159062125919056
121a66703a0640b8
138822150191b08
14378d5c6cd78a8
151838ed3217a35
hexb6d39ee5e18c

201020020220300 has 144 divisors (see below), whose sum is σ = 451769266916352. Its totient is φ = 77557747180800.

The previous prime is 201020020220297. The next prime is 201020020220321. The reversal of 201020020220300 is 3022020020102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11991879719 + ... + 11991896481.

It is an arithmetic number, because the mean of its divisors is an integer number (3137286575808).

Almost surely, 2201020020220300 is an apocalyptic number.

201020020220300 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 201020020220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225884633458176).

201020020220300 is an abundant number, since it is smaller than the sum of its proper divisors (250749246696052).

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

201020020220300 is a wasteful number, since it uses less digits than its factorization.

201020020220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29328 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 201020020220300 its reverse (3022020020102), we get a palindrome (204042040240402).

The spelling of 201020020220300 in words is "two hundred one trillion, twenty billion, twenty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 317 620 634 775 1268 1550 1585 3100 3170 6340 7925 9827 12203 15850 16763 19654 24406 31700 33526 39308 48812 49135 61015 67052 83815 98270 122030 167630 196540 244060 245675 305075 335260 378293 419075 491350 519653 610150 756586 838150 982700 1039306 1220300 1513172 1676300 1891465 2078612 2598265 3782930 3868351 5196530 5313871 7565860 7736702 9457325 10393060 10627742 12991325 15473404 18914650 19341755 21255484 25982650 26569355 37829300 38683510 51965300 53138710 77367020 96708775 106277420 119918881 132846775 164730001 193417550 204558889 239837762 265693550 329460002 386835100 409117778 479675524 531387100 599594405 658920004 818235556 823650005 1022794445 1199188810 1647300010 2045588890 2398377620 2997972025 3294600020 4091177780 4118250025 5113972225 5995944050 6341325559 8236500050 10227944450 11991888100 12682651118 16473000100 20455888900 25365302236 31706627795 63413255590 64845167813 126826511180 129690335626 158533138975 259380671252 317066277950 324225839065 634132555900 648451678130 1296903356260 1621129195325 2010200202203 3242258390650 4020400404406 6484516781300 8040800808812 10051001011015 20102002022030 40204004044060 50255005055075 100510010110150 201020020220300