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21201347452320 = 2532572103308279
BaseRepresentation
bin1001101001000010100101…
…10010001001110110100000
32210001211101100122021201200
410310201102302021312200
510234330324421433240
6113031433051201200
74315514103622230
oct464412262116640
983054340567650
1021201347452320
116834493a11a92
122464b68446200
13baa380aac2b9
145342176d9cc0
1526b767ed6930
hex134852c89da0

21201347452320 has 144 divisors (see below), whose sum is σ = 82685255103360. Its totient is φ = 4846022272512.

The previous prime is 21201347452309. The next prime is 21201347452321. The reversal of 21201347452320 is 2325474310212.

21201347452320 is a `hidden beast` number, since 2 + 12 + 0 + 1 + 34 + 74 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21201347452321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051644060 + ... + 1051664219.

It is an arithmetic number, because the mean of its divisors is an integer number (574203160440).

Almost surely, 221201347452320 is an apocalyptic number.

21201347452320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201347452320 is an abundant number, since it is smaller than the sum of its proper divisors (61483907651040).

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

21201347452320 is a wasteful number, since it uses less digits than its factorization.

21201347452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103308307 (or 2103308296 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 21201347452320 in words is "twenty-one trillion, two hundred one billion, three hundred forty-seven million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 2103308279 4206616558 6309924837 8413233116 10516541395 12619849674 14723157953 16826466232 18929774511 21033082790 25239699348 29446315906 31549624185 33652932464 37859549022 42066165580 44169473859 50479398696 58892631812 63099248370 67305864928 73615789765 75719098044 84132331160 88338947718 94648872555 100958797392 117785263624 126198496740 132508421577 147231579530 151438196088 168264662320 176677895436 189297745110 201917594784 220847369295 235570527248 252396993480 265016843154 294463159060 302876392176 336529324640 353355790872 378595490220 441694738590 471141054496 504793986960 530033686308 588926318120 605752784352 662542107885 706711581744 757190980440 883389477180 1009587973920 1060067372616 1177852636240 1325084215770 1413423163488 1514381960880 1766778954360 2120134745232 2355705272480 2650168431540 3028763921760 3533557908720 4240269490464 5300336863080 7067115817440 10600673726160 21201347452320