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201044243120 = 24578910737699
BaseRepresentation
bin1011101100111100101…
…0111011001010110000
3201012221010012201202112
42323033022323022300
511243214311234440
6232205231504452
720345030604410
oct2731712731260
9635833181675
10201044243120
1178298263546
1232b69388128
1315c5c77a306
149a32a68640
155369e94965
hex2ecf2bb2b0

201044243120 has 160 divisors (see below), whose sum is σ = 545268672000. Its totient is φ = 67516213248.

The previous prime is 201044243119. The next prime is 201044243129. The reversal of 201044243120 is 21342440102.

It is not an unprimeable number, because it can be changed into a prime (201044243129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5314031 + ... + 5351729.

It is an arithmetic number, because the mean of its divisors is an integer number (3407929200).

Almost surely, 2201044243120 is an apocalyptic number.

201044243120 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 201044243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272634336000).

201044243120 is an abundant number, since it is smaller than the sum of its proper divisors (344224428880).

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

201044243120 is a wasteful number, since it uses less digits than its factorization.

201044243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37915 (or 37909 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 201044243120 its reverse (21342440102), we get a palindrome (222386683222).

The spelling of 201044243120 in words is "two hundred one billion, forty-four million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 107 112 140 178 214 280 356 428 445 535 560 623 712 749 856 890 1070 1246 1424 1498 1712 1780 2140 2492 2996 3115 3560 3745 4280 4984 5992 6230 7120 7490 8560 9523 9968 11984 12460 14980 19046 24920 29960 37699 38092 47615 49840 59920 66661 75398 76184 95230 133322 150796 152368 188495 190460 263893 266644 301592 333305 376990 380920 527786 533288 603184 666610 753980 761840 1055572 1066576 1319465 1333220 1507960 2111144 2638930 2666440 3015920 3355211 4033793 4222288 5277860 5332880 6710422 8067586 10555720 13420844 16135172 16776055 20168965 21111440 23486477 26841688 28236551 32270344 33552110 40337930 46972954 53683376 56473102 64540688 67104220 80675860 93945908 112946204 117432385 134208440 141182755 161351720 187891816 225892408 234864770 268416880 282365510 322703440 359007577 375783632 451784816 469729540 564731020 718015154 939459080 1129462040 1436030308 1795037885 1878918160 2258924080 2513053039 2872060616 3590075770 5026106078 5744121232 7180151540 10052212156 12565265195 14360303080 20104424312 25130530390 28720606160 40208848624 50261060780 100522121560 201044243120