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320112201032320 = 275500175314113
BaseRepresentation
bin100100011001000111110111…
…0000001111110001010000000
31112222102102112200110002121111
41020302033232001332022000
5313424204241431013240
63052453303123533104
7124266225520531204
oct11062175601761200
91488372480402544
10320112201032320
1192aa79051a1844
122ba9ba8052a194
13109805b2bb8c28
145909728302b04
152701cbdb601ea
hex12323ee07e280

320112201032320 has 32 divisors (see below), whose sum is σ = 765268230594420. Its totient is φ = 128044880412672.

The previous prime is 320112201032249. The next prime is 320112201032329. The reversal of 320112201032320 is 23230102211023.

It can be written as a sum of positive squares in 2 ways, for example, as 261448978939456 + 58663222092864 = 16169384^2 + 7659192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 320112201032291 and 320112201032300.

It is not an unprimeable number, because it can be changed into a prime (320112201032329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250087656417 + ... + 250087657696.

Almost surely, 2320112201032320 is an apocalyptic number.

It is an amenable number.

320112201032320 is an abundant number, since it is smaller than the sum of its proper divisors (445156029562100).

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

320112201032320 is an equidigital number, since it uses as much as digits as its factorization.

320112201032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500175314132 (or 500175314120 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 320112201032320 its reverse (23230102211023), we get a palindrome (343342303243343).

The spelling of 320112201032320 in words is "three hundred twenty trillion, one hundred twelve billion, two hundred one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 500175314113 1000350628226 2000701256452 2500876570565 4001402512904 5001753141130 8002805025808 10003506282260 16005610051616 20007012564520 32011220103232 40014025129040 64022440206464 80028050258080 160056100516160 320112201032320