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321231020 = 225119715053
BaseRepresentation
bin10011001001011…
…001100010101100
3211101110020010012
4103021121202230
51124213343040
651513032352
710650263405
oct2311314254
9741406105
10321231020
11155365690
128b6b56b8
1351722636
143093c9ac
151d304865
hex132598ac

321231020 has 48 divisors (see below), whose sum is σ = 743547168. Its totient is φ = 115599360.

The previous prime is 321231011. The next prime is 321231049. The reversal of 321231020 is 20132123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321230986 and 321231004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13814 + ... + 28866.

It is an arithmetic number, because the mean of its divisors is an integer number (15490566).

Almost surely, 2321231020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371773584).

321231020 is an abundant number, since it is smaller than the sum of its proper divisors (422316148).

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

321231020 is a wasteful number, since it uses less digits than its factorization.

321231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 321231020 is about 17922.9188471075. The cubic root of 321231020 is about 684.8663457780.

Adding to 321231020 its reverse (20132123), we get a palindrome (341363143).

The spelling of 321231020 in words is "three hundred twenty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 15053 21340 30106 60212 75265 150530 165583 301060 331166 662332 827915 1460141 1655830 2920282 3311660 5840564 7300705 14601410 16061551 29202820 32123102 64246204 80307755 160615510 321231020