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1320313023320 = 235177925795633
BaseRepresentation
bin10011001101101000110…
…010011110101101011000
311200012221212212221202012
4103031220302132231120
5133113000113221240
62450313214125052
7164250405345614
oct23155062365530
94605855787665
101320313023320
11469a3a310275
12193a761b0788
13976745ac875
1447c91274344
15245273c3b65
hex13368c9eb58

1320313023320 has 128 divisors (see below), whose sum is σ = 3197694931200. Its totient is φ = 488852422656.

The previous prime is 1320313023317. The next prime is 1320313023343. The reversal of 1320313023320 is 233203130231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13758224 + ... + 13853856.

It is an arithmetic number, because the mean of its divisors is an integer number (24981991650).

Almost surely, 21320313023320 is an apocalyptic number.

1320313023320 is a gapful number since it is divisible by the number (10) 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 1320313023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598847465600).

1320313023320 is an abundant number, since it is smaller than the sum of its proper divisors (1877381907880).

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

1320313023320 is a wasteful number, since it uses less digits than its factorization.

1320313023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95997 (or 95993 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 1320313023320 its reverse (233203130231), we get a palindrome (1553516153551).

The spelling of 1320313023320 in words is "one trillion, three hundred twenty billion, three hundred thirteen million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 257 316 340 395 514 632 680 790 1028 1285 1343 1580 2056 2570 2686 3160 4369 5140 5372 6715 8738 10280 10744 13430 17476 20303 21845 26860 34952 40606 43690 53720 81212 87380 95633 101515 162424 174760 191266 203030 345151 382532 406060 478165 690302 765064 812120 956330 1380604 1625761 1725755 1912660 2761208 3251522 3451510 3825320 6503044 6903020 7555007 8128805 13006088 13806040 15110014 16257610 24577681 30220028 32515220 37775035 49155362 60440056 65030440 75550070 98310724 122888405 128435119 151100140 196621448 245776810 256870238 302200280 417820577 491553620 513740476 642175595 835641154 983107240 1027480952 1284351190 1671282308 1941636799 2089102885 2568702380 3342564616 3883273598 4178205770 5137404760 7766547196 8356411540 9708183995 15533094392 16712823080 19416367990 33007825583 38832735980 66015651166 77665471960 132031302332 165039127915 264062604664 330078255830 660156511660 1320313023320