Search a number
-
+
131113020 = 22354389571
BaseRepresentation
bin1111101000010…
…10000000111100
3100010201020020210
413310022000330
5232031104040
621002112420
73151304463
oct764120074
9303636223
10131113020
1168012175
1237aab710
132121828c
14135ad9da
15b79d480
hex7d0a03c

131113020 has 96 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 33707520.

The previous prime is 131113019. The next prime is 131113069. The reversal of 131113020 is 20311131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131112987 and 131113005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229335 + ... + 229905.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2131113020 is an apocalyptic number.

131113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

131113020 is an abundant number, since it is smaller than the sum of its proper divisors (249427140).

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

131113020 is a wasteful number, since it uses less digits than its factorization.

131113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131113020 is about 11450.4593794310. The cubic root of 131113020 is about 508.0213219810.

Adding to 131113020 its reverse (20311131), we get a palindrome (151424151).

The spelling of 131113020 in words is "one hundred thirty-one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 89 129 172 178 215 258 267 356 430 445 516 534 571 645 860 890 1068 1142 1290 1335 1713 1780 2284 2580 2670 2855 3426 3827 5340 5710 6852 7654 8565 11420 11481 15308 17130 19135 22962 24553 34260 38270 45924 49106 50819 57405 73659 76540 98212 101638 114810 122765 147318 152457 203276 229620 245530 254095 294636 304914 368295 491060 508190 609828 736590 762285 1016380 1473180 1524570 2185217 3049140 4370434 6555651 8740868 10926085 13111302 21852170 26222604 32778255 43704340 65556510 131113020