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21521621000 = 2353113076373
BaseRepresentation
bin10100000010110010…
…011110000000001000
32001112212201121212002
4110002302132000020
5323034013333000
613515323010132
71361216521505
oct240262360010
961485647762
1021521621000
119144437440
124207669948
13204c9ca0a9
1410824164ac
1585e6368d5
hex502c9e008

21521621000 has 128 divisors (see below), whose sum is σ = 55126431360. Its totient is φ = 7799328000.

The previous prime is 21521620987. The next prime is 21521621047. The reversal of 21521621000 is 12612512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3373814 + ... + 3380186.

It is an arithmetic number, because the mean of its divisors is an integer number (430675245).

Almost surely, 221521621000 is an apocalyptic number.

21521621000 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 21521621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27563215680).

21521621000 is an abundant number, since it is smaller than the sum of its proper divisors (33604810360).

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

21521621000 is a wasteful number, since it uses less digits than its factorization.

21521621000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 21521621000 in words is "twenty-one billion, five hundred twenty-one million, six hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 307 440 500 550 614 1000 1100 1228 1375 1535 2200 2456 2750 3070 3377 5500 6140 6373 6754 7675 11000 12280 12746 13508 15350 16885 25492 27016 30700 31865 33770 38375 50984 61400 63730 67540 70103 76750 84425 127460 135080 140206 153500 159325 168850 254920 280412 307000 318650 337700 350515 422125 560824 637300 675400 701030 796625 844250 1274600 1402060 1593250 1688500 1752575 1956511 2804120 3186500 3377000 3505150 3913022 6373000 7010300 7826044 8762875 9782555 14020600 15652088 17525750 19565110 21521621 35051500 39130220 43043242 48912775 70103000 78260440 86086484 97825550 107608105 172172968 195651100 215216210 244563875 391302200 430432420 489127750 538040525 860864840 978255500 1076081050 1956511000 2152162100 2690202625 4304324200 5380405250 10760810500 21521621000