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1131143020 = 225728128753
BaseRepresentation
bin100001101101011…
…1101111101101100
32220211110000111221
41003122331331230
54304033034040
6304124153124
740013362030
oct10332757554
92824400457
101131143020
11530556547
122769987a4
13150465cc7
14aa3281c0
156948874a
hex436bdf6c

1131143020 has 48 divisors (see below), whose sum is σ = 2724499008. Its totient is φ = 386426880.

The previous prime is 1131143009. The next prime is 1131143033. The reversal of 1131143020 is 203411311.

It is a junction number, because it is equal to n+sod(n) for n = 1131142985 and 1131143003.

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 15 ways as a sum of consecutive naturals, for example, 24964 + ... + 53716.

It is an arithmetic number, because the mean of its divisors is an integer number (56760396).

Almost surely, 21131143020 is an apocalyptic number.

1131143020 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 1131143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362249504).

1131143020 is an abundant number, since it is smaller than the sum of its proper divisors (1593355988).

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

1131143020 is a wasteful number, since it uses less digits than its factorization.

1131143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29050 (or 29048 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1131143020 is about 33632.4697279281. The cubic root of 1131143020 is about 1041.9315128450.

Adding to 1131143020 its reverse (203411311), we get a palindrome (1334554331).

The spelling of 1131143020 in words is "one billion, one hundred thirty-one million, one hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 3934 5620 7868 9835 19670 28753 39340 57506 115012 143765 201271 287530 402542 575060 805084 1006355 2012710 4025420 8079593 16159186 32318372 40397965 56557151 80795930 113114302 161591860 226228604 282785755 565571510 1131143020