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130013418 = 2325438521
BaseRepresentation
bin1111011111111…
…01100011101010
3100001122100212210
413233331203222
5231240412133
620522345550
73136044603
oct757754352
9301570783
10130013418
1167431007
123765b2b6
1320c21922
14133a4daa
15b632763
hex7bfd8ea

130013418 has 16 divisors (see below), whose sum is σ = 260159616. Its totient is φ = 43315680.

The previous prime is 130013413. The next prime is 130013459. The reversal of 130013418 is 814310031.

It is a super-4 number, since 4×1300134184 (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130013394 and 130013403.

It is not an unprimeable number, because it can be changed into a prime (130013413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10998 + ... + 19518.

It is an arithmetic number, because the mean of its divisors is an integer number (16259976).

Almost surely, 2130013418 is an apocalyptic number.

130013418 is an abundant number, since it is smaller than the sum of its proper divisors (130146198).

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

130013418 is a wasteful number, since it uses less digits than its factorization.

130013418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11069.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 130013418 is about 11402.3426540339. The cubic root of 130013418 is about 506.5971302501.

Adding to 130013418 its reverse (814310031), we get a palindrome (944323449).

The spelling of 130013418 in words is "one hundred thirty million, thirteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 2543 5086 7629 8521 15258 17042 25563 51126 21668903 43337806 65006709 130013418