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130314105 = 3252895869
BaseRepresentation
bin1111100010001…
…10111101111001
3100002012122100100
413301012331321
5231330022410
620533030013
73141436335
oct761067571
9302178310
10130314105
1167616a09
1237785309
1320cc874c
14134427c5
15b6918c0
hex7c46f79

130314105 has 12 divisors (see below), whose sum is σ = 225877860. Its totient is φ = 69500832.

The previous prime is 130314089. The next prime is 130314109. The reversal of 130314105 is 501413031.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 42029289 = 9396^2 + 6483^2 .

It is not a de Polignac number, because 130314105 - 24 = 130314089 is a prime.

It is a super-3 number, since 3×1303141053 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130314109) 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 11 ways as a sum of consecutive naturals, for example, 1447890 + ... + 1447979.

It is an arithmetic number, because the mean of its divisors is an integer number (18823155).

Almost surely, 2130314105 is an apocalyptic number.

130314105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130314105 is a deficient number, since it is larger than the sum of its proper divisors (95563755).

130314105 is a wasteful number, since it uses less digits than its factorization.

130314105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895880 (or 2895877 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130314105 is about 11415.5203560766. The cubic root of 130314105 is about 506.9873717429.

Adding to 130314105 its reverse (501413031), we get a palindrome (631727136).

The spelling of 130314105 in words is "one hundred thirty million, three hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 2895869 8687607 14479345 26062821 43438035 130314105