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213320021040 = 24335714108467
BaseRepresentation
bin1100011010101011011…
…1010011010000110000
3202101121122020212022000
43012222313103100300
511443334411133130
6241555312214000
721261161155410
oct3065267232060
9671548225260
10213320021040
1182517655155
123541453a300
1317167aab829
14a479152640
155837a3c260
hex31aadd3430

213320021040 has 160 divisors (see below), whose sum is σ = 839736015360. Its totient is φ = 48758858496.

The previous prime is 213320021023. The next prime is 213320021071. The reversal of 213320021040 is 40120023312.

213320021040 is a `hidden beast` number, since 213 + 3 + 200 + 210 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7039114 + ... + 7069353.

It is an arithmetic number, because the mean of its divisors is an integer number (5248350096).

Almost surely, 2213320021040 is an apocalyptic number.

213320021040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320021040 is an abundant number, since it is smaller than the sum of its proper divisors (626415994320).

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

213320021040 is a wasteful number, since it uses less digits than its factorization.

213320021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14108496 (or 14108484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213320021040 its reverse (40120023312), we get a palindrome (253440044352).

The spelling of 213320021040 in words is "two hundred thirteen billion, three hundred twenty million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 14108467 28216934 42325401 56433868 70542335 84650802 98759269 112867736 126976203 141084670 169301604 197518538 211627005 225735472 253952406 282169340 296277807 338603208 380928609 395037076 423254010 493796345 507904812 564338680 592555614 634881015 677206416 761857218 790074152 846508020 888833421 987592690 1015809624 1128677360 1185111228 1269762030 1481389035 1523714436 1580148304 1693016040 1777666842 1904643045 1975185380 2031619248 2370222456 2539524060 2666500263 2962778070 3047428872 3386032080 3555333684 3809286090 3950370760 4444167105 4740444912 5079048120 5333000526 5925556140 6094857744 7110667368 7618572180 7900741520 8888334210 10158096240 10666001052 11851112280 13332501315 14221334736 15237144360 17776668420 21332002104 23702224560 26665002630 30474288720 35553336840 42664004208 53330005260 71106673680 106660010520 213320021040