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214300104200 = 235271311774731
BaseRepresentation
bin1100011110010101001…
…0000001011000001000
3202111010221110020122022
43013211102001120020
512002341311313300
6242240442544012
721324361554620
oct3074522013010
9674127406568
10214300104200
118297a905136
1235648808008
1317292b643b0
14a52d397880
155893ad7285
hex31e5481608

214300104200 has 96 divisors (see below), whose sum is σ = 613228042560. Its totient is φ = 67822444800.

The previous prime is 214300104191. The next prime is 214300104247. The reversal of 214300104200 is 2401003412.

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, 5869166 + ... + 5905565.

It is an arithmetic number, because the mean of its divisors is an integer number (6387792110).

Almost surely, 2214300104200 is an apocalyptic number.

214300104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214300104200 is an abundant number, since it is smaller than the sum of its proper divisors (398927938360).

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

214300104200 is a wasteful number, since it uses less digits than its factorization.

214300104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774767 (or 11774758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 214300104200 its reverse (2401003412), we get a palindrome (216701107612).

The spelling of 214300104200 in words is "two hundred fourteen billion, three hundred million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 11774731 23549462 47098924 58873655 82423117 94197848 117747310 153071503 164846234 235494620 294368275 306143006 329692468 412115585 470989240 588736550 612286012 659384936 765357515 824231170 1071500521 1177473100 1224572024 1530715030 1648462340 2060577925 2143001042 2354946200 3061430060 3296924680 3826787575 4121155850 4286002084 5357502605 6122860120 7653575150 8242311700 8572004168 10715005210 15307150300 16484623400 21430010420 26787513025 30614300600 42860020840 53575026050 107150052100 214300104200