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201332420334320 = 24511316699722411
BaseRepresentation
bin101101110001110001011011…
…011001010101001011110000
3222101212012011112120010200112
4231301301123121111023300
5202342112244101144240
61552110500445240452
760256534030302302
oct5561613331251360
9871765145503615
10201332420334320
115917266660a570
121a6b76a4263128
1388457480066a2
1437a0780c4b972
1518421b932e665
hexb71c5b6552f0

201332420334320 has 80 divisors (see below), whose sum is σ = 510654549052800. Its totient is φ = 73211456697600.

The previous prime is 201332420334319. The next prime is 201332420334337. The reversal of 201332420334320 is 23433024233102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278333915 + ... + 279056325.

It is an arithmetic number, because the mean of its divisors is an integer number (6383181863160).

Almost surely, 2201332420334320 is an apocalyptic number.

201332420334320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201332420334320 is an abundant number, since it is smaller than the sum of its proper divisors (309322128718480).

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

201332420334320 is a wasteful number, since it uses less digits than its factorization.

201332420334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039134 (or 1039128 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 201332420334320 its reverse (23433024233102), we get a palindrome (224765444567422).

The spelling of 201332420334320 in words is "two hundred one trillion, three hundred thirty-two billion, four hundred twenty million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 316699 633398 722411 1266796 1444822 1583495 2533592 2889644 3166990 3483689 3612055 5067184 5779288 6333980 6967378 7224110 7946521 11558576 12667960 13934756 14448220 15893042 17418445 25335920 27869512 28896440 31786084 34836890 39732605 55739024 57792880 63572168 69673780 79465210 127144336 139347560 158930420 278695120 317860840 635721680 228786841289 457573682578 915147365156 1143934206445 1830294730312 2287868412890 2516655254179 3660589460624 4575736825780 5033310508358 9151473651560 10066621016716 12583276270895 18302947303120 20133242033432 25166552541790 40266484066864 50333105083580 100666210167160 201332420334320