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1130218362 = 2327132512749
BaseRepresentation
bin100001101011101…
…1100001101111010
32220202201001010100
41003113130031322
54303313441422
6304052300230
740002461160
oct10327341572
92822631110
101130218362
1152aa84869
12276611676
13150201180
14aa167230
15693547ac
hex435dc37a

1130218362 has 96 divisors (see below), whose sum is σ = 3027024000. Its totient is φ = 296784000.

The previous prime is 1130218343. The next prime is 1130218373. The reversal of 1130218362 is 2638120311.

It is a happy number.

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, 409764 + ... + 412512.

It is an arithmetic number, because the mean of its divisors is an integer number (31531500).

Almost surely, 21130218362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130218362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513512000).

1130218362 is an abundant number, since it is smaller than the sum of its proper divisors (1896805638).

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

1130218362 is a wasteful number, since it uses less digits than its factorization.

1130218362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1130218362 is about 33618.7204099145. The cubic root of 1130218362 is about 1041.6475248991.

Adding to 1130218362 its reverse (2638120311), we get a palindrome (3768338673).

The spelling of 1130218362 in words is "one billion, one hundred thirty million, two hundred eighteen thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 251 273 502 546 753 819 1506 1638 1757 2259 2749 3263 3514 4518 5271 5498 6526 8247 9789 10542 15813 16494 19243 19578 22841 24741 29367 31626 35737 38486 45682 49482 57729 58734 68523 71474 107211 115458 137046 173187 205569 214422 250159 321633 346374 411138 500318 643266 689999 750477 1379998 1500954 2069997 2251431 4139994 4502862 4829993 6209991 8969987 9659986 12419982 14489979 17939974 26909961 28979958 43469937 53819922 62789909 80729883 86939874 125579818 161459766 188369727 376739454 565109181 1130218362