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320131116 = 22352941277
BaseRepresentation
bin10011000101001…
…101000000101100
3211022101100100000
4103011031000230
51123423143431
651433304300
710635032604
oct2305150054
9738340300
10320131116
11154784278
128b265090
1351428ac6
1430733c04
151d1889e6
hex1314d02c

320131116 has 144 divisors (see below), whose sum is σ = 892513440. Its totient is φ = 100154880.

The previous prime is 320131103. The next prime is 320131121. The reversal of 320131116 is 611131023.

It is a super-3 number, since 3×3201311163 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1155570 + ... + 1155846.

It is an arithmetic number, because the mean of its divisors is an integer number (6198010).

Almost surely, 2320131116 is an apocalyptic number.

320131116 is a gapful number since it is divisible by the number (36) 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 320131116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446256720).

320131116 is an abundant number, since it is smaller than the sum of its proper divisors (572382324).

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

320131116 is a wasteful number, since it uses less digits than its factorization.

320131116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 320131116 is about 17892.2082482851. The cubic root of 320131116 is about 684.0837847504.

Adding to 320131116 its reverse (611131023), we get a palindrome (931262139).

The spelling of 320131116 in words is "three hundred twenty million, one hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 41 54 58 81 82 87 108 116 123 162 164 174 243 246 261 277 324 348 369 486 492 522 554 738 783 831 972 1044 1107 1108 1189 1476 1566 1662 2214 2349 2378 2493 3132 3321 3324 3567 4428 4698 4756 4986 6642 7047 7134 7479 8033 9396 9963 9972 10701 11357 13284 14094 14268 14958 16066 19926 21402 22437 22714 24099 28188 29916 32103 32132 34071 39852 42804 44874 45428 48198 64206 67311 68142 72297 89748 96309 96396 102213 128412 134622 136284 144594 192618 204426 216891 269244 288927 289188 306639 329353 385236 408852 433782 577854 613278 650673 658706 867564 919917 988059 1155708 1226556 1301346 1317412 1839834 1952019 1976118 2602692 2759751 2964177 3679668 3904038 3952236 5519502 5928354 7808076 8892531 11039004 11856708 17785062 26677593 35570124 53355186 80032779 106710372 160065558 320131116