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11010131550440 = 2351159601705689
BaseRepresentation
bin1010000000110111111011…
…1110101110000011101000
31102222120001222221202201022
42200031332332232003220
52420342222134103230
635225552401512012
72214312216014261
oct240157676560350
942876058852638
1011010131550440
1135654092547a0
121299a06942608
1361b335450909
142a0c70d7d968
151415eada01e5
hexa037efae0e8

11010131550440 has 128 divisors (see below), whose sum is σ = 27528684624000. Its totient is φ = 3929270784000.

The previous prime is 11010131550427. The next prime is 11010131550487. The reversal of 11010131550440 is 4405513101011.

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 31 ways as a sum of consecutive naturals, for example, 15249116 + ... + 15954804.

It is an arithmetic number, because the mean of its divisors is an integer number (215067848625).

Almost surely, 211010131550440 is an apocalyptic number.

11010131550440 is a gapful number since it is divisible by the number (10) 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 11010131550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764342312000).

11010131550440 is an abundant number, since it is smaller than the sum of its proper divisors (16518553073560).

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

11010131550440 is a wasteful number, since it uses less digits than its factorization.

11010131550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706371 (or 706367 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 11010131550440 its reverse (4405513101011), we get a palindrome (15415644651451).

The spelling of 11010131550440 in words is "eleven trillion, ten billion, one hundred thirty-one million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 601 649 1180 1202 1298 2360 2404 2596 3005 3245 4808 5192 6010 6490 6611 12020 12980 13222 24040 25960 26444 33055 35459 52888 66110 70918 132220 141836 177295 264440 283672 354590 390049 705689 709180 780098 1411378 1418360 1560196 1950245 2822756 3120392 3528445 3900490 5645512 7056890 7762579 7800980 14113780 15525158 15601960 28227560 31050316 38812895 41635651 62100632 77625790 83271302 155251580 166542604 208178255 310503160 333085208 416356510 424119089 457992161 832713020 848238178 915984322 1665426040 1696476356 1831968644 2120595445 2289960805 3392952712 3663937288 4241190890 4579921610 4665309979 8482381780 9159843220 9330619958 16964763560 18319686440 18661239916 23326549895 25023026251 37322479832 46653099790 50046052502 93306199580 100092105004 125115131255 186612399160 200184210008 250230262510 275253288761 500460525020 550506577522 1000921050040 1101013155044 1376266443805 2202026310088 2752532887610 5505065775220 11010131550440