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321221023321 = 11217241764609
BaseRepresentation
bin1001010110010100100…
…00111101011001011001
31010201010110000201002211
410223022100331121121
520230330040221241
6403322241155121
732131104435112
oct4531220753131
91121113021084
10321221023321
11114257991200
125230832baa1
13243a247bb43
141179366b209
158550719781
hex4aca43d659

321221023321 has 24 divisors (see below), whose sum is σ = 374007390120. Its totient is φ = 274723553280.

The previous prime is 321221023301. The next prime is 321221023339. The reversal of 321221023321 is 123320122123.

It can be written as a sum of positive squares in 4 ways, for example, as 229214967696 + 92006055625 = 478764^2 + 303325^2 .

It is not a de Polignac number, because 321221023321 - 25 = 321221023289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321221023292 and 321221023301.

It is not an unprimeable number, because it can be changed into a prime (321221023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4939465 + ... + 5004073.

It is an arithmetic number, because the mean of its divisors is an integer number (15583641255).

Almost surely, 2321221023321 is an apocalyptic number.

It is an amenable number.

321221023321 is a deficient number, since it is larger than the sum of its proper divisors (52786366799).

321221023321 is a wasteful number, since it uses less digits than its factorization.

321221023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67065 (or 67054 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 321221023321 its reverse (123320122123), we get a palindrome (444541145444).

The spelling of 321221023321 in words is "three hundred twenty-one billion, two hundred twenty-one million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 11 17 121 187 2057 2417 26587 41089 64609 292457 451979 710699 1098353 4971769 7817689 12081883 132900713 156159953 1717759483 2654719201 18895354313 29201911211 321221023321