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321310331340 = 2235103157331159
BaseRepresentation
bin1001010110011111001…
…01101001000111001100
31010201100200002000200020
410223033211221013030
520231020421100330
6403335151302140
732133240516255
oct4531745510714
91121320060606
10321310331340
111142a333a689
125233221a950
13243b7b1ab1b
14117a1477b2c
1585584ab210
hex4acf9691cc

321310331340 has 96 divisors (see below), whose sum is σ = 914192348160. Its totient is φ = 84310177536.

The previous prime is 321310331261. The next prime is 321310331347. The reversal of 321310331340 is 43133013123.

It is a happy number.

321310331340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 321310331340.

It is not an unprimeable number, because it can be changed into a prime (321310331347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804681 + ... + 1135839.

It is an arithmetic number, because the mean of its divisors is an integer number (9522836960).

Almost surely, 2321310331340 is an apocalyptic number.

321310331340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321310331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457096174080).

321310331340 is an abundant number, since it is smaller than the sum of its proper divisors (592882016820).

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

321310331340 is a wasteful number, since it uses less digits than its factorization.

321310331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331431 (or 331429 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 321310331340 its reverse (43133013123), we get a palindrome (364443344463).

The spelling of 321310331340 in words is "three hundred twenty-one billion, three hundred ten million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 157 206 309 314 412 471 515 618 628 785 942 1030 1236 1545 1570 1884 2060 2355 3090 3140 4710 6180 9420 16171 32342 48513 64684 80855 97026 161710 194052 242565 323420 331159 485130 662318 970260 993477 1324636 1655795 1986954 3311590 3973908 4967385 6623180 9934770 19869540 34109377 51991963 68218754 102328131 103983926 136437508 155975889 170546885 204656262 207967852 259959815 311951778 341093770 409312524 511640655 519919630 623903556 682187540 779879445 1023281310 1039839260 1559758890 2046562620 3119517780 5355172189 10710344378 16065516567 21420688756 26775860945 32131033134 53551721890 64262066268 80327582835 107103443780 160655165670 321310331340