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131113242 = 2341324789
BaseRepresentation
bin1111101000010…
…10000100011010
3100010201020120000
413310022010122
5232031110432
621002113430
73151305231
oct764120432
9303636500
10131113242
1168012357
1237aab876
1321218400
14135adb18
15b79d57c
hex7d0a11a

131113242 has 60 divisors (see below), whose sum is σ = 318194910. Its totient is φ = 40334112.

The previous prime is 131113223. The next prime is 131113259. The reversal of 131113242 is 242311131.

It can be written as a sum of positive squares in 3 ways, for example, as 33281361 + 97831881 = 5769^2 + 9891^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24984 + ... + 29772.

Almost surely, 2131113242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131113242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159097455).

131113242 is an abundant number, since it is smaller than the sum of its proper divisors (187081668).

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

131113242 is a wasteful number, since it uses less digits than its factorization.

131113242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4807 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131113242 is about 11450.4690733611. The cubic root of 131113242 is about 508.0216087074.

Adding to 131113242 its reverse (242311131), we get a palindrome (373424373).

The spelling of 131113242 in words is "one hundred thirty-one million, one hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 4789 9126 9578 13689 14367 27378 28734 43101 62257 86202 124514 129303 186771 258606 373542 387909 560313 775818 809341 1120626 1618682 1680939 2428023 3361878 4856046 5042817 7284069 10085634 14568138 21852207 43704414 65556621 131113242