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130413204131 = 7192933812083
BaseRepresentation
bin111100101110100111…
…0111001001010100011
3110110121201110012010112
41321131032321022203
54114041240013011
6135524435321535
712264521642060
oct1713516711243
9413551405115
10130413204131
1150342943551
12213371502ab
13c3b468a212
146452309c67
1535d428458b
hex1e5d3b92a3

130413204131 has 16 divisors (see below), whose sum is σ = 162298003200. Its totient is φ = 102247735968.

The previous prime is 130413204083. The next prime is 130413204161. The reversal of 130413204131 is 131402314031.

It is not a de Polignac number, because 130413204131 - 214 = 130413187747 is a prime.

It is a super-2 number, since 2×1304132041312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130413204097 and 130413204106.

It is not an unprimeable number, because it can be changed into a prime (130413204161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16902185 + ... + 16909898.

It is an arithmetic number, because the mean of its divisors is an integer number (10143625200).

Almost surely, 2130413204131 is an apocalyptic number.

130413204131 is a deficient number, since it is larger than the sum of its proper divisors (31884799069).

130413204131 is a wasteful number, since it uses less digits than its factorization.

130413204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33812138.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 130413204131 its reverse (131402314031), we get a palindrome (261815518162).

The spelling of 130413204131 in words is "one hundred thirty billion, four hundred thirteen million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 7 19 29 133 203 551 3857 33812083 236684581 642429577 980550407 4497007039 6863852849 18630457733 130413204131