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1132313130 = 2325133131219
BaseRepresentation
bin100001101111101…
…1011101000101010
32220220122110121100
41003133123220222
54304333010010
6304205222230
740026334314
oct10337335052
92826573540
101132313130
11531185683
12277261976
13150785790
14aa5507b4
156961a2c0
hex437dba2a

1132313130 has 96 divisors (see below), whose sum is σ = 3272855040. Its totient is φ = 269723520.

The previous prime is 1132313123. The next prime is 1132313153. The reversal of 1132313130 is 313132311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20661 + ... + 51879.

It is an arithmetic number, because the mean of its divisors is an integer number (34092240).

Almost surely, 21132313130 is an apocalyptic number.

1132313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636427520).

1132313130 is an abundant number, since it is smaller than the sum of its proper divisors (2140541910).

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

1132313130 is a wasteful number, since it uses less digits than its factorization.

1132313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31276 (or 31273 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1132313130 is about 33649.8607723717. The cubic root of 1132313130 is about 1042.2906641079.

Adding to 1132313130 its reverse (313132311), we get a palindrome (1445445441).

The spelling of 1132313130 in words is "one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 31219 36270 62438 93657 156095 187314 280971 312190 405847 468285 561942 811694 936570 967789 1217541 1404855 1935578 2029235 2435082 2809710 2903367 3652623 4058470 4838945 5806734 6087705 7305246 8710101 9677890 12175410 12581257 14516835 17420202 18263115 25162514 29033670 36526230 37743771 43550505 62906285 75487542 87101010 113231313 125812570 188718855 226462626 377437710 566156565 1132313130