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321122130320 = 2454014026629
BaseRepresentation
bin1001010110001000101…
…11101101100110010000
31010200212112221102102002
410223010113231212100
520230124231132240
6403304345413132
732125464033245
oct4530427554620
91120775842362
10321122130320
11114207086452
125229b19a1a8
1324387b35184
14117844875cc
158546bd2d15
hex4ac45ed990

321122130320 has 20 divisors (see below), whose sum is σ = 746608953180. Its totient is φ = 128448852096.

The previous prime is 321122130293. The next prime is 321122130323. The reversal of 321122130320 is 23031221123.

It can be written as a sum of positive squares in 2 ways, for example, as 202557604096 + 118564526224 = 450064^2 + 344332^2 .

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

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 = 321122130292 and 321122130301.

It is not an unprimeable number, because it can be changed into a prime (321122130323) 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, 2007013235 + ... + 2007013394.

It is an arithmetic number, because the mean of its divisors is an integer number (37330447659).

Almost surely, 2321122130320 is an apocalyptic number.

It is an amenable number.

321122130320 is an abundant number, since it is smaller than the sum of its proper divisors (425486822860).

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

321122130320 is a wasteful number, since it uses less digits than its factorization.

321122130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014026642 (or 4014026636 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 321122130320 its reverse (23031221123), we get a palindrome (344153351443).

The spelling of 321122130320 in words is "three hundred twenty-one billion, one hundred twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4014026629 8028053258 16056106516 20070133145 32112213032 40140266290 64224426064 80280532580 160561065160 321122130320