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130133442312 = 23324673386777
BaseRepresentation
bin111100100110010001…
…1101011111100001000
3110102220020000211001200
41321030203223330020
54113003130123222
6135441003144200
712254554002666
oct1711443537410
9412806024050
10130133442312
1150209a32335
1221279515060
13c36b727093
1464270c3c36
1535b9921eac
hex1e4c8ebf08

130133442312 has 48 divisors (see below), whose sum is σ = 352521072540. Its totient is φ = 43368419328.

The previous prime is 130133442281. The next prime is 130133442323. The reversal of 130133442312 is 213244331031.

It is a happy number.

130133442312 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 344 + 2 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100746568836 + 29386873476 = 317406^2 + 171426^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 143068 + ... + 529844.

Almost surely, 2130133442312 is an apocalyptic number.

130133442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130133442312 is an abundant number, since it is smaller than the sum of its proper divisors (222387630228).

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

130133442312 is a wasteful number, since it uses less digits than its factorization.

130133442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391462 (or 391455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130133442312 its reverse (213244331031), we get a palindrome (343377773343).

The spelling of 130133442312 in words is "one hundred thirty billion, one hundred thirty-three million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4673 9346 14019 18692 28038 37384 42057 56076 84114 112152 168228 336456 386777 773554 1160331 1547108 2320662 3094216 3480993 4641324 6961986 9282648 13923972 27847944 1807408921 3614817842 5422226763 7229635684 10844453526 14459271368 16266680289 21688907052 32533360578 43377814104 65066721156 130133442312