Search a number
-
+
1000313012000 = 2553833012991
BaseRepresentation
bin11101000111001110100…
…11010011111100100000
310112121222112102002020002
432203213103103330200
5112342120112341000
62043312031235132
7132161455211321
oct16434723237440
93477875362202
101000313012000
113562596874a5
12141a4a978aa8
13734380a1143
14365b5c46448
151b048e958d5
hexe8e74d3f20

1000313012000 has 96 divisors (see below), whose sum is σ = 2487381571584. Its totient is φ = 395304288000.

The previous prime is 1000313011979. The next prime is 1000313012003. The reversal of 1000313012000 is 2103130001.

It is a super-2 number, since 2×10003130120002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000313012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174496 + ... + 1838495.

It is an arithmetic number, because the mean of its divisors is an integer number (25910224704).

Almost surely, 21000313012000 is an apocalyptic number.

1000313012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000313012000 is an abundant number, since it is smaller than the sum of its proper divisors (1487068559584).

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

1000313012000 is an equidigital number, since it uses as much as digits as its factorization.

1000313012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013099 (or 3013081 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1000313012000 its reverse (2103130001), we get a palindrome (1002416142001).

The spelling of 1000313012000 in words is "one trillion, three hundred thirteen million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 664 800 830 1000 1328 1660 2000 2075 2656 3320 4000 4150 6640 8300 10375 13280 16600 20750 33200 41500 66400 83000 166000 332000 3012991 6025982 12051964 15064955 24103928 30129910 48207856 60259820 75324775 96415712 120519640 150649550 241039280 250078253 301299100 376623875 482078560 500156506 602598200 753247750 1000313012 1205196400 1250391265 1506495500 2000626024 2410392800 2500782530 3012991000 4001252048 5001565060 6025982000 6251956325 8002504096 10003130120 12051964000 12503912650 20006260240 25007825300 31259781625 40012520480 50015650600 62519563250 100031301200 125039126500 200062602400 250078253000 500156506000 1000313012000