Search a number
-
+
1320310120000 = 265473452161
BaseRepresentation
bin10011001101101000100…
…111011001111001000000
311200012221200102110010211
4103031220213121321000
5133112443342320000
62450313032003504
7164250341564254
oct23155047317100
94605850373124
101320310120000
11469a38707a33
12193a75230594
1397673b04221
1447c90b1a264
1524526eed7ba
hex133689d9e40

1320310120000 has 140 divisors (see below), whose sum is σ = 3318795829756. Its totient is φ = 520888320000.

The previous prime is 1320310119943. The next prime is 1320310120033. The reversal of 1320310120000 is 210130231.

It can be written as a sum of positive squares in 10 ways, for example, as 1264527238144 + 55782881856 = 1124512^2 + 236184^2 .

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 19 ways as a sum of consecutive naturals, for example, 2693920 + ... + 3146080.

Almost surely, 21320310120000 is an apocalyptic number.

1320310120000 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 1320310120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659397914878).

1320310120000 is an abundant number, since it is smaller than the sum of its proper divisors (1998485709756).

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

1320310120000 is an frugal number, since it uses more digits than its factorization.

1320310120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452266 (or 452241 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1320310120000 its reverse (210130231), we get a palindrome (1320520250231).

The spelling of 1320310120000 in words is "one trillion, three hundred twenty billion, three hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 625 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3650 4000 4672 5000 5840 7300 8000 9125 10000 11680 14600 18250 20000 23360 29200 36500 40000 45625 58400 73000 91250 116800 146000 182500 292000 365000 452161 584000 730000 904322 1460000 1808644 2260805 2920000 3617288 4521610 7234576 9043220 11304025 14469152 18086440 22608050 28938304 33007753 36172880 45216100 56520125 66015506 72345760 90432200 113040250 132031012 144691520 165038765 180864400 226080500 264062024 282600625 330077530 361728800 452161000 528124048 565201250 660155060 723457600 825193825 904322000 1056248096 1130402500 1320310120 1650387650 1808644000 2112496192 2260805000 2640620240 3300775300 3617288000 4125969125 4521610000 5281240480 6601550600 8251938250 9043220000 10562480960 13203101200 16503876500 18086440000 20629845625 26406202400 33007753000 41259691250 52812404800 66015506000 82519382500 132031012000 165038765000 264062024000 330077530000 660155060000 1320310120000