Search a number
-
+
32320230101310 = 23543239464922549
BaseRepresentation
bin1110101100101001000111…
…10101011001000100111110
311020102210011101222021002210
413112110203311121010332
513214013312401220220
6152423413030401250
76544026301011054
oct726244365310476
9136383141867083
1032320230101310
11a330a2933a728
12375ba63800226
131505a27a73268
147da443a401d4
153b0acb4d46e0
hex1d6523d5913e

32320230101310 has 128 divisors (see below), whose sum is σ = 79725254400000. Its totient is φ = 8380894620672.

The previous prime is 32320230101309. The next prime is 32320230101323. The reversal of 32320230101310 is 1310103202323.

It is a super-2 number, since 2×323202301013102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1433321916 + ... + 1433344464.

It is an arithmetic number, because the mean of its divisors is an integer number (622853550000).

Almost surely, 232320230101310 is an apocalyptic number.

32320230101310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32320230101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39862627200000).

32320230101310 is an abundant number, since it is smaller than the sum of its proper divisors (47405024298690).

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

32320230101310 is a wasteful number, since it uses less digits than its factorization.

32320230101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27490.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32320230101310 its reverse (1310103202323), we get a palindrome (33630333303633).

The spelling of 32320230101310 in words is "thirty-two trillion, three hundred twenty billion, two hundred thirty million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 239 258 430 478 645 717 1195 1290 1434 2390 3585 4649 7170 9298 10277 13947 20554 22549 23245 27894 30831 45098 46490 51385 61662 67647 69735 102770 112745 135294 139470 154155 199907 225490 308310 338235 399814 599721 676470 969607 999535 1111111 1199442 1939214 1999070 2222222 2908821 2998605 3333333 4848035 5389211 5555555 5817642 5997210 6666666 9696070 10778422 11111110 14544105 16167633 16666665 26946055 29088210 32335266 33333330 47777773 53892110 80838165 95555546 104830301 143333319 161676330 209660602 231736073 238888865 286666638 314490903 463472146 477777730 524151505 628981806 695208219 716666595 1048303010 1158680365 1390416438 1433333190 1572454515 2317360730 3144909030 3476041095 4507702943 6952082190 9015405886 13523108829 22538514715 25054441939 27046217658 45077029430 50108883878 67615544145 75163325817 125272209695 135231088290 150326651634 250544419390 375816629085 751633258170 1077341003377 2154682006754 3232023010131 5386705016885 6464046020262 10773410033770 16160115050655 32320230101310