Search a number
-
+
130118824 = 23112967761
BaseRepresentation
bin1111100000101…
…11010010101000
3100001211201110201
413300113102220
5231302300244
620524521544
73136664113
oct760272250
9301751421
10130118824
11674a3220
12376b02b4
1320c5a8b4
14133d157a
15b653ad4
hex7c174a8

130118824 has 64 divisors (see below), whose sum is σ = 279806400. Its totient is φ = 56179200.

The previous prime is 130118819. The next prime is 130118827. The reversal of 130118824 is 428811031.

It is a junction number, because it is equal to n+sod(n) for n = 130118792 and 130118801.

It is not an unprimeable number, because it can be changed into a prime (130118827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170604 + ... + 171364.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975).

Almost surely, 2130118824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130118824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139903200).

130118824 is an abundant number, since it is smaller than the sum of its proper divisors (149687576).

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

130118824 is a wasteful number, since it uses less digits than its factorization.

130118824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 130118824 is about 11406.9638379369. The cubic root of 130118824 is about 506.7339980540.

Adding to 130118824 its reverse (428811031), we get a palindrome (558929855).

The spelling of 130118824 in words is "one hundred thirty million, one hundred eighteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 67 88 116 134 232 268 319 536 638 737 761 1276 1474 1522 1943 2552 2948 3044 3886 5896 6088 7772 8371 15544 16742 21373 22069 33484 42746 44138 50987 66968 85492 88276 101974 170984 176552 203948 242759 407896 485518 560857 971036 1121714 1478623 1942072 2243428 2957246 4486856 5914492 11828984 16264853 32529706 65059412 130118824