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11234505330 = 233544992671
BaseRepresentation
bin10100111011010000…
…01111001001110010
31001222221201000002000
422131220033021302
5141002013132310
65054442234430
7545254501566
oct123550171162
931887630060
1011234505330
114845649154
1222164b5a16
1310a06a34b9
147880b56a6
1545b4624c0
hex29da0f272

11234505330 has 64 divisors (see below), whose sum is σ = 30025728000. Its totient is φ = 2989163520.

The previous prime is 11234505283. The next prime is 11234505341. The reversal of 11234505330 is 3350543211.

11234505330 is a `hidden beast` number, since 1 + 123 + 4 + 5 + 0 + 533 + 0 = 666.

11234505330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112345053302 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11234505294 and 11234505303.

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 31 ways as a sum of consecutive naturals, for example, 74895 + ... + 167565.

It is an arithmetic number, because the mean of its divisors is an integer number (469152000).

Almost surely, 211234505330 is an apocalyptic number.

11234505330 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 11234505330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012864000).

11234505330 is an abundant number, since it is smaller than the sum of its proper divisors (18791222670).

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

11234505330 is a wasteful number, since it uses less digits than its factorization.

11234505330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93136 (or 93130 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 11234505330 in words is "eleven billion, two hundred thirty-four million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 449 898 1347 2245 2694 4041 4490 6735 8082 12123 13470 20205 24246 40410 60615 92671 121230 185342 278013 463355 556026 834039 926710 1390065 1668078 2502117 2780130 4170195 5004234 8340390 12510585 25021170 41609279 83218558 124827837 208046395 249655674 374483511 416092790 624139185 748967022 1123450533 1248278370 1872417555 2246901066 3744835110 5617252665 11234505330