Search a number
-
+
30322120301340 = 22357223448419407
BaseRepresentation
bin1101110010011111010110…
…01101011001101100011100
310222100202200200212112010020
412321033223031121230130
512433244200244120330
6144253442331112140
76246462256645200
oct671175315315434
9128322620775106
1030322120301340
1197305a246112a
1234987688a2650
1313bc495cc0c5a
1476b854226b00
15378b3442b210
hex1b93eb359b1c

30322120301340 has 144 divisors (see below), whose sum is σ = 103057542024192. Its totient is φ = 6629432498304.

The previous prime is 30322120301323. The next prime is 30322120301359. The reversal of 30322120301340 is 4310302122303.

It is a super-3 number, since 3×303221203013403 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30322120301340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224142084 + ... + 224277323.

It is an arithmetic number, because the mean of its divisors is an integer number (715677375168).

Almost surely, 230322120301340 is an apocalyptic number.

30322120301340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30322120301340 is an abundant number, since it is smaller than the sum of its proper divisors (72735421722852).

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

30322120301340 is a wasteful number, since it uses less digits than its factorization.

30322120301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448419456 (or 448419447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 30322120301340 its reverse (4310302122303), we get a palindrome (34632422423643).

The spelling of 30322120301340 in words is "thirty trillion, three hundred twenty-two billion, one hundred twenty million, three hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 9660 11270 13524 16905 22540 33810 67620 448419407 896838814 1345258221 1793677628 2242097035 2690516442 3138935849 4484194070 5381032884 6277871698 6726291105 8968388140 9416807547 10313646361 12555743396 13452582210 15694679245 18833615094 20627292722 21972550943 26905164420 30940939083 31389358490 37667230188 41254585444 43945101886 47084037735 51568231805 61881878166 62778716980 65917652829 72195524527 87890203772 94168075470 103136463610 109862754715 123763756332 131835305658 144391049054 154704695415 188336150940 206272927220 216586573581 219725509430 263670611316 288782098108 309409390830 329588264145 360977622635 433173147162 439451018860 505368671689 618818781660 659176528290 721955245270 866346294324 1010737343378 1082932867905 1318353056580 1443910490540 1516106015067 2021474686756 2165865735810 2526843358445 3032212030134 4331731471620 5053686716890 6064424060268 7580530075335 10107373433780 15161060150670 30322120301340