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130412315541 = 3331846715511
BaseRepresentation
bin111100101110100101…
…1100000001110010101
3110110121122210001012210
41321131023200032111
54114041023044131
6135524404304033
712264511251324
oct1713513401625
9413548701183
10130412315541
1150342396982
12213369a2019
13c3b4438921
1464521580bb
1535d415b146
hex1e5d2e0395

130412315541 has 16 divisors (see below), whose sum is σ = 174440258048. Its totient is φ = 86663055600.

The previous prime is 130412315459. The next prime is 130412315573. The reversal of 130412315541 is 145513214031.

It is not a de Polignac number, because 130412315541 - 230 = 129338573717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130412315499 and 130412315508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130412315941) 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 15 ways as a sum of consecutive naturals, for example, 8399976 + ... + 8415486.

It is an arithmetic number, because the mean of its divisors is an integer number (10902516128).

Almost surely, 2130412315541 is an apocalyptic number.

It is an amenable number.

130412315541 is a deficient number, since it is larger than the sum of its proper divisors (44027942507).

130412315541 is a wasteful number, since it uses less digits than its factorization.

130412315541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24312.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 130412315541 its reverse (145513214031), we get a palindrome (275925529572).

The spelling of 130412315541 in words is "one hundred thirty billion, four hundred twelve million, three hundred fifteen thousand, five hundred forty-one".

Divisors: 1 3 331 993 8467 15511 25401 46533 2802577 5134141 8407731 15402423 131331637 393994911 43470771847 130412315541