Search a number
-
+
12303033313000 = 2353113108876401
BaseRepresentation
bin1011001100001000010111…
…1011100010011011101000
31121120011021112201101201111
42303002011323202123220
53103033103012004000
642055534021400104
72406602430455113
oct263020573423350
947504245641644
1012303033313000
113a13761625051
1214684b0b69034
136b322ba97951
1430768191957a
1516506ba53cba
hexb3085ee26e8

12303033313000 has 64 divisors (see below), whose sum is σ = 29043868997520. Its totient is φ = 4877662720000.

The previous prime is 12303033312967. The next prime is 12303033313003. The reversal of 12303033313000 is 31333030321.

It can be written as a sum of positive squares in 8 ways, for example, as 2950898681124 + 9352134631876 = 1717818^2 + 3058126^2 .

It is not an unprimeable number, because it can be changed into a prime (12303033313003) 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, 54325201 + ... + 54551200.

Almost surely, 212303033313000 is an apocalyptic number.

12303033313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303033313000 is an abundant number, since it is smaller than the sum of its proper divisors (16740835684520).

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

12303033313000 is a wasteful number, since it uses less digits than its factorization.

12303033313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108876535 (or 108876521 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 12303033313000 its reverse (31333030321), we get a palindrome (12334366343321).

The spelling of 12303033313000 in words is "twelve trillion, three hundred three billion, thirty-three million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 108876401 217752802 435505604 544382005 871011208 1088764010 2177528020 2721910025 4355056040 5443820050 10887640100 12303033313 13609550125 21775280200 24606066626 27219100250 49212133252 54438200500 61515166565 98424266504 108876401000 123030333130 246060666260 307575832825 492121332520 615151665650 1230303331300 1537879164125 2460606662600 3075758328250 6151516656500 12303033313000