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13230230310 = 23351110214363
BaseRepresentation
bin11000101001001010…
…10100101100100110
31021011001000100002000
430110211110230212
5204043414332220
610024453430130
7645600050013
oct142445245446
937131010060
1013230230310
11567a135940
12269293b346
13132acb1a5b
148d717a70a
1552677d390
hex314954b26

13230230310 has 128 divisors (see below), whose sum is σ = 38534469120. Its totient is φ = 3203452800.

The previous prime is 13230230303. The next prime is 13230230339. The reversal of 13230230310 is 1303203231.

13230230310 is a `hidden beast` number, since 1 + 323 + 0 + 2 + 30 + 310 = 666.

It is a super-2 number, since 2×132302303102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030189 + ... + 3034551.

It is an arithmetic number, because the mean of its divisors is an integer number (301050540).

Almost surely, 213230230310 is an apocalyptic number.

13230230310 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 13230230310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267234560).

13230230310 is an abundant number, since it is smaller than the sum of its proper divisors (25304238810).

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

13230230310 is a wasteful number, since it uses less digits than its factorization.

13230230310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13230230310 its reverse (1303203231), we get a palindrome (14533433541).

The spelling of 13230230310 in words is "thirteen billion, two hundred thirty million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1021 1485 2042 2970 3063 4363 5105 6126 8726 9189 10210 11231 13089 15315 18378 21815 22462 26178 27567 30630 33693 39267 43630 45945 47993 55134 56155 65445 67386 78534 91890 95986 101079 112310 117801 130890 137835 143979 168465 196335 202158 235602 239965 275670 287958 303237 336930 392670 431937 479930 505395 589005 606474 719895 863874 1010790 1178010 1295811 1439790 1516185 2159685 2591622 3032370 4319370 4454623 6479055 8909246 12958110 13363869 22273115 26727738 40091607 44546230 49000853 66819345 80183214 98001706 120274821 133638690 147002559 200458035 240549642 245004265 294005118 400916070 441007677 490008530 601374105 735012795 882015354 1202748210 1323023031 1470025590 2205038385 2646046062 4410076770 6615115155 13230230310