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130305221 = 1713755949
BaseRepresentation
bin1111100010001…
…00110011000101
3100002012012011022
413301010303011
5231324231341
620532520525
73141401414
oct761046305
9302165138
10130305221
1167610272
1237780145
1320cc46a7
141343d47b
15b68de4b
hex7c44cc5

130305221 has 8 divisors (see below), whose sum is σ = 138979800. Its totient is φ = 121742848.

The previous prime is 130305199. The next prime is 130305223. The reversal of 130305221 is 122503031.

It can be written as a sum of positive squares in 4 ways, for example, as 25140196 + 105165025 = 5014^2 + 10255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-130305221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130305221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130305223) 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 7 ways as a sum of consecutive naturals, for example, 25646 + ... + 30303.

It is an arithmetic number, because the mean of its divisors is an integer number (17372475).

Almost surely, 2130305221 is an apocalyptic number.

It is an amenable number.

130305221 is a deficient number, since it is larger than the sum of its proper divisors (8674579).

130305221 is a wasteful number, since it uses less digits than its factorization.

130305221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56103.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 130305221 is about 11415.1312300823. The cubic root of 130305221 is about 506.9758504059.

Adding to 130305221 its reverse (122503031), we get a palindrome (252808252).

The spelling of 130305221 in words is "one hundred thirty million, three hundred five thousand, two hundred twenty-one".

Divisors: 1 17 137 2329 55949 951133 7665013 130305221