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1134213030 = 23452322647
BaseRepresentation
bin100001110011010…
…1011011110100110
32221001012222210000
41003212223132212
54310324304110
6304314042130
740051436346
oct10346533646
92831188700
101134213030
11532263045
12277a19346
13150c9c492
14aa8c6d26
15698931c0
hex439ab7a6

1134213030 has 120 divisors (see below), whose sum is σ = 3189341232. Its totient is φ = 289197216.

The previous prime is 1134213023. The next prime is 1134213043. The reversal of 1134213030 is 303124311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1134212994 and 1134213012.

It is a congruent 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 59 ways as a sum of consecutive naturals, for example, 427167 + ... + 429813.

Almost surely, 21134213030 is an apocalyptic number.

1134213030 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 1134213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594670616).

1134213030 is an abundant number, since it is smaller than the sum of its proper divisors (2055128202).

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

1134213030 is a wasteful number, since it uses less digits than its factorization.

1134213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1134213030 is about 33678.0793692277. The cubic root of 1134213030 is about 1042.8732890208.

Adding to 1134213030 its reverse (303124311), we get a palindrome (1437337341).

The spelling of 1134213030 in words is "one billion, one hundred thirty-four million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 529 621 690 810 1035 1058 1242 1587 1863 2070 2645 2647 3105 3174 3726 4761 5290 5294 6210 7935 7941 9315 9522 13235 14283 15870 15882 18630 23805 23823 26470 28566 39705 42849 47610 47646 60881 71415 71469 79410 85698 119115 121762 142830 142938 182643 214245 214407 238230 304405 357345 365286 428490 428814 547929 608810 714690 913215 1072035 1095858 1400263 1643787 1826430 2144070 2739645 2800526 3287574 4200789 4931361 5479290 7001315 8218935 8401578 9862722 12602367 14002630 16437870 21003945 24656805 25204734 37807101 42007890 49313610 63011835 75614202 113421303 126023670 189035505 226842606 378071010 567106515 1134213030