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320130330320 = 2454001629129
BaseRepresentation
bin1001010100010010100…
…00010010111011010000
31010121022102200202120202
410222021100102323100
520221111331032240
6403022115554332
732062061624123
oct4521120227320
91117272622522
10320130330320
11113848253429
1252062bbb9a8
132425a509478
14116cc8723ba
1584d9ac1315
hex4a89412ed0

320130330320 has 20 divisors (see below), whose sum is σ = 744303018180. Its totient is φ = 128052132096.

The previous prime is 320130330313. The next prime is 320130330323. The reversal of 320130330320 is 23033031023.

It can be written as a sum of positive squares in 2 ways, for example, as 50740265536 + 269390064784 = 225256^2 + 519028^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3201303303202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320130330292 and 320130330301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130330323) 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, 2000814485 + ... + 2000814644.

It is an arithmetic number, because the mean of its divisors is an integer number (37215150909).

Almost surely, 2320130330320 is an apocalyptic number.

It is an amenable number.

320130330320 is an abundant number, since it is smaller than the sum of its proper divisors (424172687860).

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

320130330320 is a wasteful number, since it uses less digits than its factorization.

320130330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001629142 (or 4001629136 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 320130330320 its reverse (23033031023), we get a palindrome (343163361343).

The spelling of 320130330320 in words is "three hundred twenty billion, one hundred thirty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4001629129 8003258258 16006516516 20008145645 32013033032 40016291290 64026066064 80032582580 160065165160 320130330320