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130303120 = 2458918301
BaseRepresentation
bin1111100010001…
…00010010010000
3100002012002021111
413301010102100
5231324144440
620532503104
73141362323
oct761042220
9302162244
10130303120
1167609732
123777aa94
1320cc374c
141343c7ba
15b68d4ea
hex7c44490

130303120 has 40 divisors (see below), whose sum is σ = 306375480. Its totient is φ = 51532800.

The previous prime is 130303109. The next prime is 130303127. The reversal of 130303120 is 21303031.

It can be written as a sum of positive squares in 4 ways, for example, as 4145296 + 126157824 = 2036^2 + 11232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 130303120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2031 + ... + 16270.

It is an arithmetic number, because the mean of its divisors is an integer number (7659387).

Almost surely, 2130303120 is an apocalyptic number.

130303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130303120 is an abundant number, since it is smaller than the sum of its proper divisors (176072360).

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

130303120 is a wasteful number, since it uses less digits than its factorization.

130303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18397 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 130303120 is about 11415.0392027360. The cubic root of 130303120 is about 506.9731256187.

Adding to 130303120 its reverse (21303031), we get a palindrome (151606151).

The spelling of 130303120 in words is "one hundred thirty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 18301 36602 73204 91505 146408 183010 292816 366020 732040 1464080 1628789 3257578 6515156 8143945 13030312 16287890 26060624 32575780 65151560 130303120