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12091141314 = 2327213708777
BaseRepresentation
bin10110100001011000…
…00010110011000010
31011012122121121201200
423100230002303002
5144230313010224
65315443042030
7605426001600
oct132054026302
934178547650
1012091141314
11514515247a
122415370316
1311a8cc60b5
14829b84870
154ab7755c9
hex2d0b02cc2

12091141314 has 36 divisors (see below), whose sum is σ = 30474613494. Its totient is φ = 3454611552.

The previous prime is 12091141301. The next prime is 12091141343. The reversal of 12091141314 is 41314119021.

12091141314 is a `hidden beast` number, since 1 + 209 + 1 + 141 + 314 = 666.

12091141314 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11819386089 + 271755225 = 108717^2 + 16485^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6853507 + ... + 6855270.

Almost surely, 212091141314 is an apocalyptic number.

12091141314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12091141314 is an abundant number, since it is smaller than the sum of its proper divisors (18383472180).

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

12091141314 is a wasteful number, since it uses less digits than its factorization.

12091141314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708799 (or 13708789 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12091141314 in words is "twelve billion, ninety-one million, one hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 13708777 27417554 41126331 82252662 95961439 123378993 191922878 246757986 287884317 575768634 671730073 863652951 1343460146 1727305902 2015190219 4030380438 6045570657 12091141314