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203133212311000 = 23531134679384193
BaseRepresentation
bin101110001011111110100010…
…111101100011110111011000
3222122020100022211100212220211
4232023332202331203313120
5203111113304322423000
62000010035351100504
760533614236452266
oct5613764275436730
9878210284325824
10203133212311000
11597a734774aa34
121a9486b1971734
1389464c235283a
1438239b2897436
151873e636777ba
hexb8bfa2f63dd8

203133212311000 has 128 divisors (see below), whose sum is σ = 479641927939200. Its totient is φ = 80516807884800.

The previous prime is 203133212310961. The next prime is 203133212311009. The reversal of 203133212311000 is 113212331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203133212311009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528534904 + ... + 528919096.

It is an arithmetic number, because the mean of its divisors is an integer number (3747202562025).

Almost surely, 2203133212311000 is an apocalyptic number.

203133212311000 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 203133212311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239820963969600).

203133212311000 is an abundant number, since it is smaller than the sum of its proper divisors (276508715628200).

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

203133212311000 is a wasteful number, since it uses less digits than its factorization.

203133212311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389006 (or 388992 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 203133212311000 its reverse (113212331302), we get a palindrome (203246424642302).

The spelling of 203133212311000 in words is "two hundred three trillion, one hundred thirty-three billion, two hundred twelve million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 4679 5650 9358 11300 14125 18716 22600 23395 28250 37432 46790 56500 93580 113000 116975 187160 233950 384193 467900 528727 584875 768386 935800 1057454 1169750 1536772 1920965 2114908 2339500 2643635 3073544 3841930 4229816 4679000 5287270 7683860 9604825 10574540 13218175 15367720 19209650 21149080 26436350 38419300 43413809 48024125 52872700 66090875 76838600 86827618 96048250 105745400 132181750 173655236 192096500 217069045 264363500 347310472 384193000 434138090 528727000 868276180 1085345225 1736552360 1797639047 2170690450 3595278094 4341380900 5426726125 7190556188 8682761800 8988195235 10853452250 14381112376 17976390470 21706904500 35952780940 43413809000 44940976175 71905561880 89881952350 179763904700 203133212311 224704880875 359527809400 406266424622 449409761750 812532849244 898819523500 1015666061555 1625065698488 1797639047000 2031332123110 4062664246220 5078330307775 8125328492440 10156660615550 20313321231100 25391651538875 40626642462200 50783303077750 101566606155500 203133212311000