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130433325 = 35211374273
BaseRepresentation
bin1111100011001…
…00000100101101
3100002102200212220
413301210010231
5231342331300
620535345553
73142444041
oct761440455
9302380786
10130433325
1167698540
12378222b9
132103aaa9
1413474021
15b6b6da0
hex7c6412d

130433325 has 48 divisors (see below), whose sum is σ = 241669056. Its totient is φ = 61516800.

The previous prime is 130433273. The next prime is 130433351. The reversal of 130433325 is 523334031.

It is a happy number.

It is not a de Polignac number, because 130433325 - 211 = 130431277 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130433295 and 130433304.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28389 + ... + 32661.

It is an arithmetic number, because the mean of its divisors is an integer number (5034772).

Almost surely, 2130433325 is an apocalyptic number.

130433325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130433325 is the 6105-th nonagonal number.

It is an amenable number.

130433325 is a deficient number, since it is larger than the sum of its proper divisors (111235731).

130433325 is a wasteful number, since it uses less digits than its factorization.

130433325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 130433325 is about 11420.7410004780. The cubic root of 130433325 is about 507.1419331937.

Adding to 130433325 its reverse (523334031), we get a palindrome (653767356).

The spelling of 130433325 in words is "one hundred thirty million, four hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 75 111 165 185 275 407 555 825 925 1221 2035 2775 4273 6105 10175 12819 21365 30525 47003 64095 106825 141009 158101 235015 320475 474303 705045 790505 1175075 1739111 2371515 3525225 3952525 5217333 8695555 11857575 26086665 43477775 130433325