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21330320033000 = 2353112966866207
BaseRepresentation
bin1001101100110010110100…
…01001100000010011101000
32210112011021200022020000002
410312121122021200103220
510243433443412024000
6113211002545202132
74331031133516046
oct466313211402350
983464250266002
1021330320033000
11688415763a840
122485b61030348
13bb9595b664b4
1453a57055b396
1526ecb5a4e8d5
hex13665a2604e8

21330320033000 has 128 divisors (see below), whose sum is σ = 56328093619200. Its totient is φ = 7489015072000.

The previous prime is 21330320032979. The next prime is 21330320033027. The reversal of 21330320033000 is 33002303312.

It is a super-2 number, since 2×213303200330002 (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33114104 + ... + 33752103.

It is an arithmetic number, because the mean of its divisors is an integer number (440063231400).

Almost surely, 221330320033000 is an apocalyptic number.

21330320033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330320033000 is an abundant number, since it is smaller than the sum of its proper divisors (34997773586200).

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

21330320033000 is a wasteful number, since it uses less digits than its factorization.

21330320033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66866268 (or 66866254 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 21330320033000 its reverse (33002303312), we get a palindrome (21363322336312).

The spelling of 21330320033000 in words is "twenty-one trillion, three hundred thirty billion, three hundred twenty million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 66866207 133732414 267464828 334331035 534929656 668662070 735528277 1337324140 1471056554 1671655175 1939120003 2674648280 2942113108 3343310350 3677641385 3878240006 5884226216 6686620700 7355282770 7756480012 8358275875 9695600015 13373241400 14710565540 15512960024 16716551750 18388206925 19391200030 21330320033 29421131080 33433103500 36776413850 38782400060 42660640066 48478000075 66866207000 73552827700 77564800120 85321280132 91941034625 96956000150 106651600165 147105655400 170642560264 183882069250 193912000300 213303200330 242390000375 367764138500 387824000600 426606400660 484780000750 533258000825 735528277000 853212801320 969560001500 1066516001650 1939120003000 2133032003300 2666290004125 4266064006600 5332580008250 10665160016500 21330320033000