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130121313 = 3725211699
BaseRepresentation
bin1111100000101…
…11111001100001
3100001211211212220
413300113321201
5231302340223
620524541253
73140004300
oct760277141
9301754786
10130121313
11674a5083
12376b1829
1320c5ba7a
14133d2437
15b6546e3
hex7c17e61

130121313 has 24 divisors (see below), whose sum is σ = 202327200. Its totient is φ = 74168640.

The previous prime is 130121297. The next prime is 130121317. The reversal of 130121313 is 313121031.

It is not a de Polignac number, because 130121313 - 24 = 130121297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130121292 and 130121301.

It is not an unprimeable number, because it can be changed into a prime (130121317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75738 + ... + 77436.

It is an arithmetic number, because the mean of its divisors is an integer number (8430300).

Almost surely, 2130121313 is an apocalyptic number.

It is an amenable number.

130121313 is a deficient number, since it is larger than the sum of its proper divisors (72205887).

130121313 is a wasteful number, since it uses less digits than its factorization.

130121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 130121313 is about 11407.0729374367. The cubic root of 130121313 is about 506.7372290825.

Adding to 130121313 its reverse (313121031), we get a palindrome (443242344).

The spelling of 130121313 in words is "one hundred thirty million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 147 521 1563 1699 3647 5097 10941 11893 25529 35679 76587 83251 249753 885179 2655537 6196253 18588759 43373771 130121313