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324100134300 = 2235229317117517
BaseRepresentation
bin1001011011101011101…
…11111001010110011100
31010222120002120200212210
410231311313321112130
520302224113244200
6404520050400420
732262334454505
oct4556567712634
91128502520783
10324100134300
111154a5092968
1252990590110
1324740ab78c7
1411987ba5bac
15866d37e650
hex4b75df959c

324100134300 has 144 divisors (see below), whose sum is σ = 973133652960. Its totient is φ = 83182525440.

The previous prime is 324100134299. The next prime is 324100134331. The reversal of 324100134300 is 3431001423.

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, 2699142 + ... + 2816658.

It is an arithmetic number, because the mean of its divisors is an integer number (6757872590).

Almost surely, 2324100134300 is an apocalyptic number.

324100134300 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 324100134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486566826480).

324100134300 is an abundant number, since it is smaller than the sum of its proper divisors (649033518660).

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

324100134300 is a wasteful number, since it uses less digits than its factorization.

324100134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117880 (or 117873 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 324100134300 its reverse (3431001423), we get a palindrome (327531135723).

The spelling of 324100134300 in words is "three hundred twenty-four billion, one hundred million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 317 348 435 580 634 725 870 951 1268 1450 1585 1740 1902 2175 2900 3170 3804 4350 4755 6340 7925 8700 9193 9510 15850 18386 19020 23775 27579 31700 36772 45965 47550 55158 91930 95100 110316 117517 137895 183860 229825 235034 275790 352551 459650 470068 551580 587585 689475 705102 919300 1175170 1378950 1410204 1762755 2350340 2757900 2937925 3407993 3525510 5875850 6815986 7051020 8813775 10223979 11751700 13631972 17039965 17627550 20447958 34079930 35255100 37252889 40895916 51119895 68159860 74505778 85199825 102239790 111758667 149011556 170399650 186264445 204479580 223517334 255599475 340799300 372528890 447034668 511198950 558793335 745057780 931322225 1022397900 1080333781 1117586670 1862644450 2160667562 2235173340 2793966675 3241001343 3725288900 4321335124 5401668905 5587933350 6482002686 10803337810 11175866700 12964005372 16205006715 21606675620 27008344525 32410013430 54016689050 64820026860 81025033575 108033378100 162050067150 324100134300