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321132320001 = 32190118769789
BaseRepresentation
bin1001010110001001111…
…10100101010100000001
31010200220021010010000200
410223010332211110001
520230134333220001
6403305352035413
732125646452623
oct4530476452401
91120807103020
10321132320001
11114211906079
12522a2692b69
1324389c9217c
141178597ac13
158547a47086
hex4ac4fa5501

321132320001 has 12 divisors (see below), whose sum is σ = 464101827540. Its totient is φ = 213975583200.

The previous prime is 321132319999. The next prime is 321132320029. The reversal of 321132320001 is 100023231123.

321132320001 is a `hidden beast` number, since 321 + 1 + 323 + 20 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151737516225 + 169394803776 = 389535^2 + 411576^2 .

It is not a de Polignac number, because 321132320001 - 21 = 321132319999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321132320701) 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 11 ways as a sum of consecutive naturals, for example, 9367786 + ... + 9402003.

It is an arithmetic number, because the mean of its divisors is an integer number (38675152295).

Almost surely, 2321132320001 is an apocalyptic number.

It is an amenable number.

321132320001 is a deficient number, since it is larger than the sum of its proper divisors (142969507539).

321132320001 is a wasteful number, since it uses less digits than its factorization.

321132320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771696 (or 18771693 counting only the distinct ones).

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

Adding to 321132320001 its reverse (100023231123), we get a palindrome (421155551124).

The spelling of 321132320001 in words is "three hundred twenty-one billion, one hundred thirty-two million, three hundred twenty thousand, one".

Divisors: 1 3 9 1901 5703 17109 18769789 56309367 168928101 35681368889 107044106667 321132320001