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1143318220 = 2251113139671
BaseRepresentation
bin100010000100101…
…1010011011001100
32221200100120202021
41010021122123030
54320142140340
6305241135524
740222021162
oct10411323314
92850316667
101143318220
115374119a0
1227aa8a5a4
13152b39975
14abbb7232
156a590e4a
hex4425a6cc

1143318220 has 48 divisors (see below), whose sum is σ = 2639298816. Its totient is φ = 412568000.

The previous prime is 1143318203. The next prime is 1143318299. The reversal of 1143318220 is 228133411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8985 + ... + 48655.

It is an arithmetic number, because the mean of its divisors is an integer number (54985392).

Almost surely, 21143318220 is an apocalyptic number.

1143318220 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 1143318220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319649408).

1143318220 is an abundant number, since it is smaller than the sum of its proper divisors (1495980596).

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

1143318220 is a wasteful number, since it uses less digits than its factorization.

1143318220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39822 (or 39820 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1143318220 is about 33812.9889243764. The cubic root of 1143318220 is about 1045.6565000972.

The spelling of 1143318220 in words is "one billion, one hundred forty-three million, three hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 14410 28820 39671 79342 158684 198355 396710 436381 793420 872762 1745524 2181905 4363810 5196901 8727620 10393802 20787604 25984505 51969010 57165911 103938020 114331822 228663644 285829555 571659110 1143318220