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131112030312 = 23324342348847
BaseRepresentation
bin111101000011011100…
…0101101000001101000
3110112102102102020102200
41322012320231001220
54122004134432222
6140122041500200
712321035604144
oct1720670550150
9415372366380
10131112030312
1150671360a4a
12214b11a1660
13c4963a8233
1464bb05a224
1536257c3eac
hex1e86e2d068

131112030312 has 48 divisors (see below), whose sum is σ = 363353115840. Its totient is φ = 42687636768.

The previous prime is 131112030229. The next prime is 131112030317. The reversal of 131112030312 is 213030211131.

131112030312 is a `hidden beast` number, since 1 + 311 + 12 + 0 + 30 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131112030317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21171328 + ... + 21177519.

It is an arithmetic number, because the mean of its divisors is an integer number (7569856580).

Almost surely, 2131112030312 is an apocalyptic number.

131112030312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131112030312 is an abundant number, since it is smaller than the sum of its proper divisors (232241085528).

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

131112030312 is a wasteful number, since it uses less digits than its factorization.

131112030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348902 (or 42348895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131112030312 its reverse (213030211131), we get a palindrome (344142241443).

The spelling of 131112030312 in words is "one hundred thirty-one billion, one hundred twelve million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 42348847 84697694 127046541 169395388 254093082 338790776 381139623 508186164 762279246 1016372328 1524558492 1821000421 3049116984 3642000842 5463001263 7284001684 10926002526 14568003368 16389003789 21852005052 32778007578 43704010104 65556015156 131112030312