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321220135332 = 22328922781537
BaseRepresentation
bin1001010110010100011…
…01100100100110100100
31010201010101100121000100
410223022031210212210
520230324323312312
6403322210144100
732131064046165
oct4531215444644
91121111317010
10321220135332
11114257435028
1252307b82030
13243a222a8c5
14117934b976c
1585505e15dc
hex4aca3649a4

321220135332 has 18 divisors (see below), whose sum is σ = 811973119958. Its totient is φ = 107073378432.

The previous prime is 321220135321. The next prime is 321220135337. The reversal of 321220135332 is 233531022123.

It is a happy number.

321220135332 is a `hidden beast` number, since 3 + 2 + 122 + 0 + 1 + 3 + 533 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243743639616 + 77476495716 = 493704^2 + 278346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 321220135296 and 321220135305.

It is not an unprimeable number, because it can be changed into a prime (321220135337) 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 5 ways as a sum of consecutive naturals, for example, 4461390733 + ... + 4461390804.

Almost surely, 2321220135332 is an apocalyptic number.

It is an amenable number.

321220135332 is an abundant number, since it is smaller than the sum of its proper divisors (490752984626).

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

321220135332 is a wasteful number, since it uses less digits than its factorization.

321220135332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922781547 (or 8922781542 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 321220135332 its reverse (233531022123), we get a palindrome (554751157455).

The spelling of 321220135332 in words is "three hundred twenty-one billion, two hundred twenty million, one hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8922781537 17845563074 26768344611 35691126148 53536689222 80305033833 107073378444 160610067666 321220135332