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321234103120240 = 24519438835566073
BaseRepresentation
bin100100100001010010010010…
…0100110110011000101110000
31120010101200100222011012200201
41021002210210212303011300
5314101044420344321430
63055112524255124544
7124443253352116402
oct11102444446630560
91503350328135621
10321234103120240
119339a688723642
12300413a3213754
1310a32327453b2b
145947b56540b72
15272108234d8ca
hex12429249b3170

321234103120240 has 160 divisors (see below), whose sum is σ = 805372613210880. Its totient is φ = 118765192992768.

The previous prime is 321234103120193. The next prime is 321234103120253. The reversal of 321234103120240 is 42021301432123.

It is a super-2 number, since 2×3212341031202402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321234103120199 and 321234103120208.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54929844 + ... + 60495916.

It is an arithmetic number, because the mean of its divisors is an integer number (5033578832568).

Almost surely, 2321234103120240 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 321234103120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402686306605440).

321234103120240 is an abundant number, since it is smaller than the sum of its proper divisors (484138510090640).

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

321234103120240 is a wasteful number, since it uses less digits than its factorization.

321234103120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567031 (or 5567025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 321234103120240 its reverse (42021301432123), we get a palindrome (363255404552363).

The spelling of 321234103120240 in words is "three hundred twenty-one trillion, two hundred thirty-four billion, one hundred three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 883 1520 1634 1720 1766 3268 3440 3532 4085 4415 6536 7064 8170 8830 13072 14128 16340 16777 17660 32680 33554 35320 37969 65360 67108 70640 75938 83885 134216 151876 167770 189845 268432 303752 335540 379690 607504 671080 721411 759380 1342160 1442822 1518760 2885644 3037520 3607055 5566073 5771288 7214110 11132146 11542576 14428220 22264292 27830365 28856440 44528584 55660730 57712880 89057168 105755387 111321460 211510774 222642920 239341139 423021548 445285840 478682278 528776935 846043096 957364556 1057553870 1196705695 1692086192 1914729112 2115107740 2393411390 3829458224 4230215480 4547481641 4786822780 4914842459 8460430960 9094963282 9573645560 9829684918 18189926564 19147291120 19659369836 22737408205 24574212295 36379853128 39318739672 45474816410 49148424590 72759706256 78637479344 90949632820 93382006721 98296849180 181899265640 186764013442 196593698360 211338225737 363798531280 373528026884 393187396720 422676451474 466910033605 747056053768 845352902948 933820067210 1056691128685 1494112107536 1690705805896 1867640134420 2113382257370 3381411611792 3735280268840 4015426289003 4226764514740 7470560537680 8030852578006 8453529029480 16061705156012 16907058058960 20077131445015 32123410312024 40154262890030 64246820624048 80308525780060 160617051560120 321234103120240