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130400234241 = 34319910394889
BaseRepresentation
bin111100101110001110…
…1011010101100000001
3110110120211001020210020
41321130131122230001
54114024424443431
6135523253324053
712264303463014
oct1713435325401
9413524036706
10130400234241
1150336595032
1221332936629
13c3b1a98924
1464506d137b
1535d3071696
hex1e5c75ab01

130400234241 has 32 divisors (see below), whose sum is σ = 179013120000. Its totient is φ = 84386510208.

The previous prime is 130400234189. The next prime is 130400234249. The reversal of 130400234241 is 142432004031.

It is a de Polignac number, because none of the positive numbers 2k-130400234241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130400234249) 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 31 ways as a sum of consecutive naturals, for example, 26669725 + ... + 26674613.

It is an arithmetic number, because the mean of its divisors is an integer number (5594160000).

Almost surely, 2130400234241 is an apocalyptic number.

It is an amenable number.

130400234241 is a deficient number, since it is larger than the sum of its proper divisors (48612885759).

130400234241 is a wasteful number, since it uses less digits than its factorization.

130400234241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130400234241 its reverse (142432004031), we get a palindrome (272832238272).

The spelling of 130400234241 in words is "one hundred thirty billion, four hundred million, two hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 43 129 199 597 1039 3117 4889 8557 14667 25671 44677 134031 206761 210227 620283 630681 972911 2918733 5079671 8890723 15239013 26672169 41835173 125505519 218425853 655277559 1010854529 3032563587 43466744747 130400234241