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330123131320 = 235113653111847
BaseRepresentation
bin1001100110111001101…
…11110011100110111000
31011120002211220122112111
410303130313303212320
520402043010200240
6411353444222104
732564521213543
oct4633467634670
91146084818474
10330123131320
111180059a0754
1253b9169a934
1325190875c78
1411d99a7d85a
1588c200b1ea
hex4cdcdf39b8

330123131320 has 64 divisors (see below), whose sum is σ = 750504553920. Its totient is φ = 130679076864.

The previous prime is 330123131309. The next prime is 330123131357. The reversal of 330123131320 is 23131321033.

It is a junction number, because it is equal to n+sod(n) for n = 330123131291 and 330123131300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2895637 + ... + 3007483.

It is an arithmetic number, because the mean of its divisors is an integer number (11726633655).

Almost surely, 2330123131320 is an apocalyptic number.

It is an amenable number.

330123131320 is an abundant number, since it is smaller than the sum of its proper divisors (420381422600).

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

330123131320 is a wasteful number, since it uses less digits than its factorization.

330123131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112624 (or 112620 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 330123131320 its reverse (23131321033), we get a palindrome (353254452353).

The spelling of 330123131320 in words is "three hundred thirty billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 653 904 1130 1306 2260 2612 3265 4520 5224 6530 13060 26120 73789 111847 147578 223694 295156 368945 447388 559235 590312 737890 894776 1118470 1475780 2236940 2951560 4473880 12638711 25277422 50554844 63193555 73036091 101109688 126387110 146072182 252774220 292144364 365180455 505548440 584288728 730360910 1460721820 2921443640 8253078283 16506156566 33012313132 41265391415 66024626264 82530782830 165061565660 330123131320