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1130085108 = 22352947853
BaseRepresentation
bin100001101011011…
…1011101011110100
32220202110021100000
41003112323223310
54303300210413
6304045351300
740001364525
oct10326735364
92822407300
101130085108
1152a9a3739
12276568530
13150185619
14aa13084c
156932a073
hex435bbaf4

1130085108 has 144 divisors (see below), whose sum is σ = 3133428480. Its totient is φ = 355549824.

The previous prime is 1130085083. The next prime is 1130085127. The reversal of 1130085108 is 8015800311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324410 + ... + 1325262.

It is an arithmetic number, because the mean of its divisors is an integer number (21759920).

Almost surely, 21130085108 is an apocalyptic number.

1130085108 is a gapful number since it is divisible by the number (18) 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 1130085108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566714240).

1130085108 is an abundant number, since it is smaller than the sum of its proper divisors (2003343372).

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

1130085108 is a wasteful number, since it uses less digits than its factorization.

1130085108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1130085108 is about 33616.7385092605. The cubic root of 1130085108 is about 1041.6065861568.

Adding to 1130085108 its reverse (8015800311), we get a palindrome (9145885419).

The spelling of 1130085108 in words is "one billion, one hundred thirty million, eighty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 81 87 94 108 116 141 162 174 188 243 261 282 324 348 423 486 522 564 783 846 853 972 1044 1269 1363 1566 1692 1706 2349 2538 2559 2726 3132 3412 3807 4089 4698 5076 5118 5452 7047 7614 7677 8178 9396 10236 11421 12267 14094 15228 15354 16356 22842 23031 24534 24737 28188 30708 36801 40091 45684 46062 49068 49474 69093 73602 74211 80182 92124 98948 110403 120273 138186 147204 148422 160364 207279 220806 222633 240546 276372 296844 331209 360819 414558 441612 445266 481092 662418 667899 721638 829116 890532 1082457 1162639 1324836 1335798 1443276 2003697 2164914 2325278 2671596 3247371 3487917 4007394 4329828 4650556 6011091 6494742 6975834 8014788 9742113 10463751 12022182 12989484 13951668 19484226 20927502 24044364 31391253 38968452 41855004 62782506 94173759 125565012 188347518 282521277 376695036 565042554 1130085108