Search a number
-
+
320010120010320 = 24351970177657897
BaseRepresentation
bin100100011000011000010100…
…1100001110001101001010000
31112222001200001110222212211220
41020300300221201301221100
5313421021211210312240
63052334341501205040
7124255653044260155
oct11060605141615120
91488050043885756
10320010120010320
1192a68591110053
122ba84131860780
1310973a9520482c
145904802b3622c
1526ee2e6dab5d0
hex1230c29871a50

320010120010320 has 80 divisors (see below), whose sum is σ = 1044243549522240. Its totient is φ = 80844661896192.

The previous prime is 320010120010253. The next prime is 320010120010367. The reversal of 320010120010320 is 23010021010023.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320010120010320.

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, 35088824389 + ... + 35088833508.

It is an arithmetic number, because the mean of its divisors is an integer number (13053044369028).

Almost surely, 2320010120010320 is an apocalyptic number.

320010120010320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320010120010320 is an abundant number, since it is smaller than the sum of its proper divisors (724233429511920).

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

320010120010320 is a wasteful number, since it uses less digits than its factorization.

320010120010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70177657932 (or 70177657926 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320010120010320 its reverse (23010021010023), we get a palindrome (343020141020343).

The spelling of 320010120010320 in words is "three hundred twenty trillion, ten billion, one hundred twenty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 70177657897 140355315794 210532973691 280710631588 350888289485 421065947382 561421263176 701776578970 842131894764 1052664868455 1122842526352 1333375500043 1403553157940 1684263789528 2105329736910 2666751000086 2807106315880 3368527579056 4000126500129 4210659473820 5333502000172 5614212631760 6666877500215 8000253000258 8421318947640 10667004000344 13333755000430 16000506000516 16842637895280 20000632500645 21334008000688 26667510000860 32001012001032 40001265001290 53335020001720 64002024002064 80002530002580 106670040003440 160005060005160 320010120010320