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21321233013000 = 2335323309003377
BaseRepresentation
bin1001101100100001111001…
…00001010001100100001000
32210111021211101110202222210
410312100330201101210020
510243311341122404000
6113202501134545120
74330260013233264
oct466207441214410
983437741422883
1021321233013000
116880314213158
1224842459681a0
13bb877836879b
14539d4b7730a4
1526e932dd4350
hex13643c851908

21321233013000 has 128 divisors (see below), whose sum is σ = 69414518833920. Its totient is φ = 5438459417600.

The previous prime is 21321233012971. The next prime is 21321233013037. The reversal of 21321233013000 is 31033212312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154432689 + ... + 154570688.

It is an arithmetic number, because the mean of its divisors is an integer number (542300928390).

Almost surely, 221321233013000 is an apocalyptic number.

21321233013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321233013000 is an abundant number, since it is smaller than the sum of its proper divisors (48093285820920).

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

21321233013000 is a wasteful number, since it uses less digits than its factorization.

21321233013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309003424 (or 309003410 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21321233013000 its reverse (31033212312), we get a palindrome (21352266225312).

The spelling of 21321233013000 in words is "twenty-one trillion, three hundred twenty-one billion, two hundred thirty-three million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 309003377 618006754 927010131 1236013508 1545016885 1854020262 2472027016 3090033770 3708040524 4635050655 6180067540 7107077671 7416081048 7725084425 9270101310 12360135080 14214155342 15450168850 18540202620 21321233013 23175253275 28428310684 30900337700 35535388355 37080405240 38625422125 42642466026 46350506550 56856621368 61800675400 71070776710 77250844250 85284932052 92701013100 106606165065 115876266375 142141553420 154501688500 170569864104 177676941775 185402026200 213212330130 231752532750 284283106840 309003377000 355353883550 426424660260 463505065500 533030825325 710707767100 852849320520 888384708875 927010131000 1066061650650 1421415534200 1776769417750 2132123301300 2665154126625 3553538835500 4264246602600 5330308253250 7107077671000 10660616506500 21321233013000