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130241314 = 27219113619
BaseRepresentation
bin1111100001101…
…01001100100010
3100002001221111101
413300311030202
5231320210224
620531305014
73141014200
oct760651442
9302057441
10130241314
1167577255
123774b16a
1320ca1588
1413424070
15b67a044
hex7c35322

130241314 has 48 divisors (see below), whose sum is σ = 241725600. Its totient is φ = 52327296.

The previous prime is 130241311. The next prime is 130241317. The reversal of 130241314 is 413142031.

It is an interprime number because it is at equal distance from previous prime (130241311) and next prime (130241317).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 130241291 and 130241300.

It is not an unprimeable number, because it can be changed into a prime (130241311) 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 23 ways as a sum of consecutive naturals, for example, 210097 + ... + 210715.

It is an arithmetic number, because the mean of its divisors is an integer number (5035950).

Almost surely, 2130241314 is an apocalyptic number.

130241314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130241314 is a deficient number, since it is larger than the sum of its proper divisors (111484286).

130241314 is a wasteful number, since it uses less digits than its factorization.

130241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130241314 is about 11412.3316635997. The cubic root of 130241314 is about 506.8929563015.

Adding to 130241314 its reverse (413142031), we get a palindrome (543383345).

The spelling of 130241314 in words is "one hundred thirty million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 7 14 19 38 49 98 113 133 226 266 619 791 931 1238 1582 1862 2147 4294 4333 5537 8666 11074 11761 15029 23522 30058 30331 60662 69947 82327 105203 139894 164654 210406 489629 576289 979258 1152578 1328993 2657986 3427403 6854806 9302951 18605902 65120657 130241314