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321132000321 = 321114411225089
BaseRepresentation
bin1001010110001001111…
…01010111010001000001
31010200220020111212111200
410223010331113101001
520230134243002241
6403305341131413
732125643651616
oct4530475272101
91120806455450
10321132000321
11114211707980
12522a2559b69
1324389bac802
14117858d650d
1585479d24b6
hex4ac4f57441

321132000321 has 24 divisors (see below), whose sum is σ = 506063544480. Its totient is φ = 194611084800.

The previous prime is 321132000257. The next prime is 321132000323. The reversal of 321132000321 is 123000231123.

321132000321 is a `hidden beast` number, since 3 + 21 + 1 + 320 + 0 + 0 + 321 = 666.

It is not a de Polignac number, because 321132000321 - 26 = 321132000257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 321132000294 and 321132000303.

It is not an unprimeable number, because it can be changed into a prime (321132000323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314145 + ... + 1539233.

It is an arithmetic number, because the mean of its divisors is an integer number (21085981020).

Almost surely, 2321132000321 is an apocalyptic number.

It is an amenable number.

321132000321 is a deficient number, since it is larger than the sum of its proper divisors (184931544159).

321132000321 is a wasteful number, since it uses less digits than its factorization.

321132000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239517 (or 239514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321132000321 its reverse (123000231123), we get a palindrome (444132231444).

The spelling of 321132000321 in words is "three hundred twenty-one billion, one hundred thirty-two million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 14411 43233 129699 158521 225089 475563 675267 1426689 2025801 2475979 7427937 22283811 3243757579 9731272737 29193818211 35681333369 107044000107 321132000321