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234041247124100 = 225213237999797847
BaseRepresentation
bin110101001101101111111001…
…011001011100101010000100
31010200200010100220202112010122
4311031233321121130222010
5221134012433230432400
62145433021543441112
7100203631165545233
oct6515577131345204
91120603326675118
10234041247124100
1168633376616889
12222ba918156198
13a078cc1a5c960
1441b192a396b1a
151c0ce3b053685
hexd4dbf965ca84

234041247124100 has 144 divisors (see below), whose sum is σ = 570729201493248. Its totient is φ = 82656167784960.

The previous prime is 234041247124093. The next prime is 234041247124109. The reversal of 234041247124100 is 1421742140432.

It is not an unprimeable number, because it can be changed into a prime (234041247124109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391861377 + ... + 2391959223.

It is an arithmetic number, because the mean of its divisors is an integer number (3963397232592).

Almost surely, 2234041247124100 is an apocalyptic number.

234041247124100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234041247124100 is an abundant number, since it is smaller than the sum of its proper divisors (336687954369148).

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

234041247124100 is a wasteful number, since it uses less digits than its factorization.

234041247124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177894 (or 177887 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

Adding to 234041247124100 its reverse (1421742140432), we get a palindrome (235462989264532).

The spelling of 234041247124100 in words is "two hundred thirty-four trillion, forty-one billion, two hundred forty-seven million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 79997 97847 159994 195694 319988 391388 399985 489235 799970 978470 1039961 1272011 1599940 1839931 1956940 1999925 2079922 2250481 2446175 2544022 3679862 3999850 4159844 4500962 4892350 5088044 5199805 6360055 7359724 7999700 9001924 9199655 9784700 10399610 11252405 12720110 18399310 20799220 22504810 23919103 25440220 25999025 29256253 31800275 36798620 45009620 45998275 47838206 51998050 56262025 58512506 63600550 91996550 95676412 103996100 112524050 117025012 119595515 127201100 146281265 183993100 225048100 239191030 292562530 478382060 585125060 597977575 731406325 1195955150 1462812650 2391910300 2925625300 7827466459 15654932918 31309865836 39137332295 78274664590 101757063967 156549329180 180031728557 195686661475 203514127934 360063457114 391373322950 407028255868 508785319835 720126914228 782746645900 900158642785 1017570639670 1800317285570 2035141279340 2340412471241 2543926599175 3600634571140 4500793213925 4680824942482 5087853198350 9001586427850 9361649884964 10175706396700 11702062356205 18003172855700 23404124712410 46808249424820 58510311781025 117020623562050 234041247124100