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204311303432200 = 235217330718171019
BaseRepresentation
bin101110011101000111101110…
…101010100010100000001000
3222210101222012000122122012201
4232131013232222202200020
5203234414022134312300
62002311152252245544
761015001363662156
oct5635075652424010
9883358160578181
10204311303432200
115a110a34448118
121aab8a961708b4
138a0061c940923
143864a113a03d6
151894914c3366a
hexb9d1eeaa2808

204311303432200 has 96 divisors (see below), whose sum is σ = 503118474919200. Its totient is φ = 76893933450240.

The previous prime is 204311303432111. The next prime is 204311303432219. The reversal of 204311303432200 is 2234303113402.

It is a happy number.

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, 2158291 + ... + 20329309.

It is an arithmetic number, because the mean of its divisors is an integer number (5240817447075).

Almost surely, 2204311303432200 is an apocalyptic number.

204311303432200 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 204311303432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251559237459600).

204311303432200 is an abundant number, since it is smaller than the sum of its proper divisors (298807171487000).

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

204311303432200 is a wasteful number, since it uses less digits than its factorization.

204311303432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18174359 (or 18174350 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 204311303432200 its reverse (2234303113402), we get a palindrome (206545606545602).

The spelling of 204311303432200 in words is "two hundred four trillion, three hundred eleven billion, three hundred three million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3307 3400 6614 13228 16535 26456 33070 56219 66140 82675 112438 132280 165350 224876 281095 330700 449752 562190 661400 1124380 1405475 2248760 2810950 5621900 11243800 18171019 36342038 72684076 90855095 145368152 181710190 308907323 363420380 454275475 617814646 726840760 908550950 1235629292 1544536615 1817101900 2471258584 3089073230 3634203800 6178146460 7722683075 12356292920 15445366150 30890732300 60091559833 61781464600 120183119666 240366239332 300457799165 480732478664 600915598330 1021556517161 1201831196660 1502288995825 2043113034322 2403662393320 3004577991650 4086226068644 5107782585805 6009155983300 8172452137288 10215565171610 12018311966600 20431130343220 25538912929025 40862260686440 51077825858050 102155651716100 204311303432200