Search a number
-
+
113231120130 = 23354215871697
BaseRepresentation
bin110100101110100011…
…0011100011100000010
3101211021021022212221000
41221131012130130002
53323344131321010
6124003451512430
711115654432522
oct1513506343402
9354237285830
10113231120130
1144026019527
1219b40a58716
13a8a6a434cb
1456a238d682
152e2aae17c0
hex1a5d19c702

113231120130 has 128 divisors (see below), whose sum is σ = 303361148160. Its totient is φ = 30054205440.

The previous prime is 113231120113. The next prime is 113231120161. The reversal of 113231120130 is 31021132311.

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

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 63 ways as a sum of consecutive naturals, for example, 66723442 + ... + 66725138.

It is an arithmetic number, because the mean of its divisors is an integer number (2370008970).

Almost surely, 2113231120130 is an apocalyptic number.

113231120130 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 113231120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151680574080).

113231120130 is an abundant number, since it is smaller than the sum of its proper divisors (190130028030).

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

113231120130 is a wasteful number, since it uses less digits than its factorization.

113231120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113231120130 its reverse (31021132311), we get a palindrome (144252252441).

The spelling of 113231120130 in words is "one hundred thirteen billion, two hundred thirty-one million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 421 587 842 1174 1263 1697 1761 2105 2526 2935 3394 3522 3789 4210 5091 5283 5870 6315 7578 8485 8805 10182 10566 11367 12630 15273 15849 16970 17610 18945 22734 25455 26415 30546 31698 37890 45819 50910 52830 56835 76365 79245 91638 113670 152730 158490 229095 247127 458190 494254 714437 741381 996139 1235635 1428874 1482762 1992278 2143311 2224143 2471270 2988417 3572185 3706905 4286622 4448286 4980695 5976834 6429933 6672429 7144370 7413810 8965251 9961390 10716555 11120715 12859866 13344858 14942085 17930502 19289799 21433110 22241430 26895753 29884170 32149665 33362145 38579598 44826255 53791506 64299330 66724290 89652510 96448995 134478765 192897990 268957530 419374519 838749038 1258123557 2096872595 2516247114 3774370671 4193745190 6290617785 7548741342 11323112013 12581235570 18871853355 22646224026 37743706710 56615560065 113231120130