Search a number
-
+
130130244 = 22329533793
BaseRepresentation
bin1111100000110…
…10000101000100
3100001212022010200
413300122011010
5231303131434
620525050500
73140042316
oct760320504
9301768120
10130130244
1167500862
12376b6a30
1320c62b5a
14133d57b6
15b657199
hex7c1a144

130130244 has 36 divisors (see below), whose sum is σ = 329372316. Its totient is φ = 43319808.

The previous prime is 130130243. The next prime is 130130309. The reversal of 130130244 is 442031031.

It can be written as a sum of positive squares in 2 ways, for example, as 37970244 + 92160000 = 6162^2 + 9600^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (130130243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32412 + ... + 36204.

It is an arithmetic number, because the mean of its divisors is an integer number (9149231).

Almost surely, 2130130244 is an apocalyptic number.

It is an amenable number.

130130244 is an abundant number, since it is smaller than the sum of its proper divisors (199242072).

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

130130244 is a wasteful number, since it uses less digits than its factorization.

130130244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130130244 is about 11407.4643983665. The cubic root of 130130244 is about 506.7488222811.

Adding to 130130244 its reverse (442031031), we get a palindrome (572161275).

The spelling of 130130244 in words is "one hundred thirty million, one hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 953 1906 2859 3793 3812 5718 7586 8577 11379 11436 15172 17154 22758 34137 34308 45516 68274 136548 3614729 7229458 10844187 14458916 21688374 32532561 43376748 65065122 130130244