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231302420122100 = 225271317290335401
BaseRepresentation
bin110100100101111001001010…
…100101100100100111110100
31010022222021222100120012200112
4310211321022211210213310
5220304124324022401400
62135534510452002152
766502022411260115
oct6445711245444764
91108867870505615
10231302420122100
11677778951320a8
1221b37b60600358
139c0a956008072
14411914db3620c
151bb1a9048b835
hexd25e4a9649f4

231302420122100 has 144 divisors (see below), whose sum is σ = 510791615744256. Its totient is φ = 90896211840000.

The previous prime is 231302420122097. The next prime is 231302420122127. The reversal of 231302420122100 is 1221024203132.

231302420122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6533764400 + ... + 6533799800.

It is an arithmetic number, because the mean of its divisors is an integer number (3547163998224).

Almost surely, 2231302420122100 is an apocalyptic number.

231302420122100 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 231302420122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255395807872128).

231302420122100 is an abundant number, since it is smaller than the sum of its proper divisors (279489195622156).

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

231302420122100 is a wasteful number, since it uses less digits than its factorization.

231302420122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38706 (or 38699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 231302420122100 its reverse (1221024203132), we get a palindrome (232523444325232).

The spelling of 231302420122100 in words is "two hundred thirty-one trillion, three hundred two billion, four hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 317 355 634 710 1268 1420 1585 1775 2903 3170 3550 5806 6340 7100 7925 11612 14515 15850 22507 29030 31700 35401 45014 58060 70802 72575 90028 112535 141604 145150 177005 206113 225070 290300 354010 412226 450140 562675 708020 824452 885025 920251 1030565 1125350 1770050 1840502 2061130 2250700 2513471 3540100 3681004 4122260 4601255 5026942 5152825 9202510 10053884 10305650 11222117 12567355 18405020 20611300 22444234 23006275 25134710 44888468 46012550 50269420 56110585 62836775 65337821 92025100 102769103 112221170 125673550 130675642 205538206 224442340 251347100 261351284 280552925 326689105 411076412 513845515 561105850 653378210 796770307 1027691030 1122211700 1306756420 1593540614 1633445525 2055382060 2569227575 3187081228 3266891050 3983851535 5138455150 6533782100 7296606313 7967703070 10276910300 14593212626 15935406140 19919257675 29186425252 32577805651 36483031565 39838515350 65155611302 72966063130 79677030700 130311222604 145932126260 162889028255 182415157825 325778056510 364830315650 651556113020 729660631300 814445141275 1628890282550 2313024201221 3257780565100 4626048402442 9252096804884 11565121006105 23130242012210 46260484024420 57825605030525 115651210061050 231302420122100