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21024043441100 = 22527371077586347
BaseRepresentation
bin1001100011111000010101…
…01001000001101111001100
32202102212201201212021211022
410301330022221001233030
510223424220110103400
6112414151235013312
74266636252450560
oct461741251015714
982385651767738
1021024043441100
116776279477107
12243672573a238
13b967358787ab
145297d79ab6a0
15266d3c31eb85
hex131f0aa41bcc

21024043441100 has 144 divisors (see below), whose sum is σ = 54049270125312. Its totient is φ = 6947879120640.

The previous prime is 21024043441081. The next prime is 21024043441109. The reversal of 21024043441100 is 114434042012.

It is a super-2 number, since 2×210240434411002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21024043441100.

It is not an unprimeable number, because it can be changed into a prime (21024043441109) 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, 1021874 + ... + 6564473.

It is an arithmetic number, because the mean of its divisors is an integer number (375342153648).

Almost surely, 221024043441100 is an apocalyptic number.

21024043441100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21024043441100 is an abundant number, since it is smaller than the sum of its proper divisors (33025226684212).

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

21024043441100 is a wasteful number, since it uses less digits than its factorization.

21024043441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586512 (or 7586505 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 21024043441100 its reverse (114434042012), we get a palindrome (21138477483112).

The spelling of 21024043441100 in words is "twenty-one trillion, twenty-four billion, forty-three million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 107 140 148 175 185 214 259 350 370 428 518 535 700 740 749 925 1036 1070 1295 1498 1850 2140 2590 2675 2996 3700 3745 3959 5180 5350 6475 7490 7918 10700 12950 14980 15836 18725 19795 25900 27713 37450 39590 55426 74900 79180 98975 110852 138565 197950 277130 395900 554260 692825 1385650 2771300 7586347 15172694 30345388 37931735 53104429 75863470 106208858 151726940 189658675 212417716 265522145 280694839 379317350 531044290 561389678 758634700 811739129 1062088580 1122779356 1327610725 1403474195 1623478258 1964863873 2655221450 2806948390 3246956516 3929727746 4058695645 5310442900 5613896780 5682173903 7017370975 7859455492 8117391290 9824319365 11364347806 14034741950 16234782580 19648638730 20293478225 22728695612 28069483900 28410869515 30034347773 39297277460 40586956450 49121596825 56821739030 60068695546 81173912900 98243193650 113643478060 120137391092 142054347575 150171738865 196486387300 210240434411 284108695150 300343477730 420480868822 568217390300 600686955460 750858694325 840961737644 1051202172055 1501717388650 2102404344110 3003434777300 4204808688220 5256010860275 10512021720550 21024043441100