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11332321434 = 2327547797
BaseRepresentation
bin10101000110111010…
…11000000010011010
31002020202202120112200
422203131120002122
5141202033241214
65112254551030
7550553100000
oct124335300232
932222676480
1011332321434
114895888905
122243208476
1310b7a30c55
14797098a70
15464d34d09
hex2a375809a

11332321434 has 144 divisors (see below), whose sum is σ = 29291528448. Its totient is φ = 3164940576.

The previous prime is 11332321433. The next prime is 11332321493. The reversal of 11332321434 is 43412323311.

It is a happy number.

11332321434 is a `hidden beast` number, since 1 + 1 + 332 + 321 + 4 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11332321398 and 11332321407.

It is not an unprimeable number, because it can be changed into a prime (11332321433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14218324 + ... + 14219120.

It is an arithmetic number, because the mean of its divisors is an integer number (203413392).

Almost surely, 211332321434 is an apocalyptic number.

11332321434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332321434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645764224).

11332321434 is an abundant number, since it is smaller than the sum of its proper divisors (17959207014).

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

11332321434 is an frugal number, since it uses more digits than its factorization.

11332321434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 856 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11332321434 its reverse (43412323311), we get a palindrome (54744644745).

The spelling of 11332321434 in words is "eleven billion, three hundred thirty-two million, three hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 343 423 441 658 686 797 846 882 987 1029 1594 1974 2058 2303 2391 2401 2961 3087 4606 4782 4802 5579 5922 6174 6909 7173 7203 11158 13818 14346 14406 16121 16737 16807 20727 21609 32242 33474 33614 37459 39053 41454 43218 48363 50211 50421 74918 78106 96726 100422 100842 112377 112847 117159 145089 151263 224754 225694 234318 262213 273371 290178 302526 337131 338541 351477 524426 546742 674262 677082 702954 786639 789929 820113 1015623 1573278 1579858 1640226 1835491 1913597 2031246 2359917 2369787 2460339 3670982 3827194 4719834 4739574 4920678 5506473 5740791 7109361 11012946 11481582 12848437 13395179 14218722 16519419 17222373 25696874 26790358 33038838 34444746 38545311 40185537 77090622 80371074 89939059 115635933 120556611 179878118 231271866 241113222 269817177 539634354 629573413 809451531 1259146826 1618903062 1888720239 3777440478 5666160717 11332321434