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200430112414300 = 225229472695466569
BaseRepresentation
bin101101100100101001000101…
…101001110001101001011100
3222021122221011011000120100221
4231210221011221301221130
5202232321332234224200
61550140153355131124
760134412013443046
oct5544510551615134
9867587134016327
10200430112414300
1158954a2a28a25a
121a590847143aa4
1387ab62b361542
14376cc25134a96
1518289a93b991a
hexb64a45a71a5c

200430112414300 has 144 divisors (see below), whose sum is σ = 461212324272000. Its totient is φ = 75478872340480.

The previous prime is 200430112414283. The next prime is 200430112414327. The reversal of 200430112414300 is 3414211034002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33931416 + ... + 39397984.

It is an arithmetic number, because the mean of its divisors is an integer number (3202863363000).

Almost surely, 2200430112414300 is an apocalyptic number.

200430112414300 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 200430112414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230606162136000).

200430112414300 is an abundant number, since it is smaller than the sum of its proper divisors (260782211857700).

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

200430112414300 is a wasteful number, since it uses less digits than its factorization.

200430112414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466928 (or 5466921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 200430112414300 its reverse (3414211034002), we get a palindrome (203844323448302).

The spelling of 200430112414300 in words is "two hundred trillion, four hundred thirty billion, one hundred twelve million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 269 290 470 538 580 725 940 1076 1175 1345 1363 1450 2350 2690 2726 2900 4700 5380 5452 6725 6815 7801 12643 13450 13630 15602 25286 26900 27260 31204 34075 39005 50572 63215 68150 78010 126430 136300 156020 195025 252860 316075 366647 390050 632150 733294 780100 1264300 1466588 1833235 3666470 5466569 7332940 9166175 10933138 18332350 21866276 27332845 36664700 54665690 109331380 136664225 158530501 256928743 273328450 317061002 513857486 546656900 634122004 792652505 1027714972 1284643715 1470507061 1585305010 2569287430 2941014122 3170610020 3963262525 5138574860 5882028244 6423218575 7352535305 7450933547 7926525050 12846437150 14705070610 14901867094 15853050100 25692874300 29410141220 29803734188 36762676525 37254667735 42644704769 69113831867 73525353050 74509335470 85289409538 138227663734 147050706100 149018670940 170578819076 186273338675 213223523845 276455327468 345569159335 372546677350 426447047690 691138318670 745093354700 852894095380 1066117619225 1382276637340 1727845796675 2004301124143 2132235238450 3455691593350 4008602248286 4264470476900 6911383186700 8017204496572 10021505620715 20043011241430 40086022482860 50107528103575 100215056207150 200430112414300