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320011120341 = 3211163190710399
BaseRepresentation
bin1001010100000100010…
…01100010111011010101
31010121000010101021020100
410222002021202323111
520220340321322331
6403002220524313
732056113433143
oct4520211427325
91117003337210
10320011120341
11113796a31190
125202b0b0699
132423b8cb013
14116baac0593
1584ce3c4ae6
hex4a82262ed5

320011120341 has 48 divisors (see below), whose sum is σ = 507668428800. Its totient is φ = 192636675360.

The previous prime is 320011120339. The next prime is 320011120381. The reversal of 320011120341 is 143021110023.

320011120341 is a `hidden beast` number, since 3 + 200 + 1 + 1 + 120 + 341 = 666.

It is not a de Polignac number, because 320011120341 - 21 = 320011120339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320011120381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30768060 + ... + 30778458.

It is an arithmetic number, because the mean of its divisors is an integer number (10576425600).

Almost surely, 2320011120341 is an apocalyptic number.

It is an amenable number.

320011120341 is a deficient number, since it is larger than the sum of its proper divisors (187657308459).

320011120341 is a wasteful number, since it uses less digits than its factorization.

320011120341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12486 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320011120341 its reverse (143021110023), we get a palindrome (463032230364).

The spelling of 320011120341 in words is "three hundred twenty billion, eleven million, one hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 163 489 1467 1793 1907 5379 5721 10399 16137 17163 20977 31197 62931 93591 114389 188793 310841 343167 932523 1029501 1695037 2797569 3419251 5085111 10257753 15255333 18645407 19830893 30773259 55936221 59492679 167808663 178478037 218139823 654419469 1963258407 3232435559 9697306677 29091920031 35556791149 106670373447 320011120341