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1320310141000 = 235343106928723
BaseRepresentation
bin10011001101101000100…
…111011111000001001000
311200012221200110111221121
4103031220213133001020
5133112443344003000
62450313032245024
7164250342012424
oct23155047370110
94605850414847
101320310141000
11469a38721794
12193a75240774
1397673b10956
1447c90b23b84
1524527004b1a
hex133689df048

1320310141000 has 128 divisors (see below), whose sum is σ = 3164442652800. Its totient is φ = 515341612800.

The previous prime is 1320310140991. The next prime is 1320310141019. The reversal of 1320310141000 is 1410130231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45952639 + ... + 45981361.

It is an arithmetic number, because the mean of its divisors is an integer number (24722208225).

Almost surely, 21320310141000 is an apocalyptic number.

1320310141000 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 1320310141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582221326400).

1320310141000 is an abundant number, since it is smaller than the sum of its proper divisors (1844132511800).

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

1320310141000 is a wasteful number, since it uses less digits than its factorization.

1320310141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 29842 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1320310141000 its reverse (1410130231), we get a palindrome (1321720271231).

The spelling of 1320310141000 in words is "one trillion, three hundred twenty billion, three hundred ten million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1069 1075 1720 2138 2150 4276 4300 5345 5375 8552 8600 10690 10750 21380 21500 26725 28723 42760 43000 45967 53450 57446 91934 106900 114892 133625 143615 183868 213800 229784 229835 267250 287230 367736 459670 534500 574460 718075 919340 1069000 1148920 1149175 1235089 1436150 1838680 2298350 2470178 2872300 3590375 4596700 4940356 5744600 5745875 6175445 7180750 9193400 9880712 11491750 12350890 14361500 22983500 24701780 28723000 30704887 30877225 45967000 49403560 61409774 61754450 122819548 123508900 153524435 154386125 245639096 247017800 307048870 308772250 614097740 617544500 767622175 1228195480 1235089000 1320310141 1535244350 2640620282 3070488700 3838110875 5281240564 6140977400 6601550705 7676221750 10562481128 13203101410 15352443500 26406202820 30704887000 33007753525 52812405640 66015507050 132031014100 165038767625 264062028200 330077535250 660155070500 1320310141000