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130303013130 = 232511312812489
BaseRepresentation
bin111100101011010101…
…0100011000100001010
3110110100001002220111100
41321112222203010022
54113330032410010
6135505501442230
712262013223363
oct1712652430412
9413301086440
10130303013130
1150296721404
1221306270376
13c3978b8c44
146441824b6a
1535c976a2c0
hex1e56aa310a

130303013130 has 48 divisors (see below), whose sum is σ = 341785983240. Its totient is φ = 34439967744.

The previous prime is 130303013119. The next prime is 130303013299. The reversal of 130303013130 is 31310303031.

130303013130 is a `hidden beast` number, since 1 + 303 + 0 + 301 + 31 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81805724289 + 48497288841 = 286017^2 + 220221^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6396075 + ... + 6416414.

Almost surely, 2130303013130 is an apocalyptic number.

130303013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130303013130 is an abundant number, since it is smaller than the sum of its proper divisors (211482970110).

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

130303013130 is a wasteful number, since it uses less digits than its factorization.

130303013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812615 (or 12812612 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 130303013130 its reverse (31310303031), we get a palindrome (161613316161).

The spelling of 130303013130 in words is "one hundred thirty billion, three hundred three million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 12812489 25624978 38437467 64062445 76874934 115312401 128124890 192187335 230624802 384374670 576562005 1153124010 1447811257 2895622514 4343433771 7239056285 8686867542 13030301313 14478112570 21717168855 26060602626 43434337710 65151506565 130303013130