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1143313000 = 23537116103
BaseRepresentation
bin100010000100101…
…1001001001101000
32221200100022120221
41010021121021220
54320142004000
6305241055424
740222000024
oct10411311150
92850308527
101143313000
11537408a85
1227aa87574
13152b3748b
14abbb5384
156a58e61a
hex44259268

1143313000 has 64 divisors (see below), whose sum is σ = 2713201920. Its totient is φ = 450856000.

The previous prime is 1143312983. The next prime is 1143313001. The reversal of 1143313000 is 3133411.

It is not an unprimeable number, because it can be changed into a prime (1143313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62949 + ... + 79051.

It is an arithmetic number, because the mean of its divisors is an integer number (42393780).

Almost surely, 21143313000 is an apocalyptic number.

1143313000 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 1143313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356600960).

1143313000 is an abundant number, since it is smaller than the sum of its proper divisors (1569888920).

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

1143313000 is a wasteful number, since it uses less digits than its factorization.

1143313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16195 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1143313000 is about 33812.9117350163. The cubic root of 1143313000 is about 1045.6549087248.

Adding to 1143313000 its reverse (3133411), we get a palindrome (1146446411).

The spelling of 1143313000 in words is "one billion, one hundred forty-three million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 14200 16103 17750 32206 35500 64412 71000 80515 128824 161030 322060 402575 644120 805150 1143313 1610300 2012875 2286626 3220600 4025750 4573252 5716565 8051500 9146504 11433130 16103000 22866260 28582825 45732520 57165650 114331300 142914125 228662600 285828250 571656500 1143313000