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203323320132200 = 23524354494338823
BaseRepresentation
bin101110001110101111100110…
…010001010110001001101000
3222122220112000202202211011122
4232032233212101112021220
5203122222124423212300
62000233235505314412
760553424262333002
oct5616574621261150
9878815022684148
10203323320132200
115986aa3264a854
121a979508635a08
13895b3cb105c78
14382cc88c81372
151878d8d43ac85
hexb8ebe6456268

203323320132200 has 96 divisors (see below), whose sum is σ = 483809247768000. Its totient is φ = 79423351580160.

The previous prime is 203323320132197. The next prime is 203323320132259. The reversal of 203323320132200 is 2231023323302.

203323320132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 203323320132200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44691989 + ... + 49030811.

It is an arithmetic number, because the mean of its divisors is an integer number (5039679664250).

Almost surely, 2203323320132200 is an apocalyptic number.

203323320132200 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 203323320132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241904623884000).

203323320132200 is an abundant number, since it is smaller than the sum of its proper divisors (280485927635800).

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

203323320132200 is a wasteful number, since it uses less digits than its factorization.

203323320132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344331 (or 4344322 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 203323320132200 its reverse (2231023323302), we get a palindrome (205554343455502).

The spelling of 203323320132200 in words is "two hundred three trillion, three hundred twenty-three billion, three hundred twenty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 5449 8600 10898 21796 27245 43592 54490 108980 136225 217960 234307 272450 468614 544900 937228 1089800 1171535 1874456 2343070 4338823 4686140 5857675 8677646 9372280 11715350 17355292 21694115 23430700 34710584 43388230 46861400 86776460 108470575 173552920 186569389 216941150 373138778 433882300 746277556 867764600 932846945 1492555112 1865693890 3731387780 4664234725 7462775560 9328469450 18656938900 23642246527 37313877800 47284493054 94568986108 118211232635 189137972216 236422465270 472844930540 591056163175 945689861080 1016616600661 1182112326350 2033233201322 2364224652700 4066466402644 4728449305400 5083083003305 8132932805288 10166166006610 20332332013220 25415415016525 40664664026440 50830830033050 101661660066100 203323320132200