Search a number
-
+
130443102 = 23329312687
BaseRepresentation
bin1111100011001…
…10011101011110
3100002110012022000
413301212131132
5231343134402
620535503130
73142514406
oct761463536
9302405260
10130443102
11676a4919
1237827aa6
132104238a
1413477806
15b6b9c1c
hex7c6675e

130443102 has 64 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 40612320.

The previous prime is 130443101. The next prime is 130443121. The reversal of 130443102 is 201344031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130443101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 47203 + ... + 49889.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2130443102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130443102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

130443102 is an abundant number, since it is smaller than the sum of its proper divisors (179214498).

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

130443102 is a wasteful number, since it uses less digits than its factorization.

130443102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2752 counting only the distinct ones).

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

The square root of 130443102 is about 11421.1690294821. The cubic root of 130443102 is about 507.1546042980.

Adding to 130443102 its reverse (201344031), we get a palindrome (331787133).

The spelling of 130443102 in words is "one hundred thirty million, four hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1566 1674 1798 2687 2697 5374 5394 8061 8091 16122 16182 24183 24273 48366 48546 72549 77923 83297 145098 155846 166594 233769 249891 467538 499782 701307 749673 1402614 1499346 2103921 2249019 2415613 4207842 4498038 4831226 7246839 14493678 21740517 43481034 65221551 130443102