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12114032014 = 274721187253
BaseRepresentation
bin10110100100000110…
…10111010110001110
31011021020200120212101
423102003113112032
5144302143011024
65322021425314
7606124400410
oct132203272616
934236616771
1012114032014
115157067607
122420b6b23a
1311b097c1a6
1482cc229b0
154ad797c44
hex2d20d758e

12114032014 has 32 divisors (see below), whose sum is σ = 21309520896. Its totient is φ = 5057125920.

The previous prime is 12114032009. The next prime is 12114032039. The reversal of 12114032014 is 41023041121.

12114032014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121140320143 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114031982 and 12114032000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95212 + ... + 182464.

It is an arithmetic number, because the mean of its divisors is an integer number (665922528).

Almost surely, 212114032014 is an apocalyptic number.

12114032014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12114032014 is a deficient number, since it is larger than the sum of its proper divisors (9195488882).

12114032014 is a wasteful number, since it uses less digits than its factorization.

12114032014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87520.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12114032014 its reverse (41023041121), we get a palindrome (53137073135).

The spelling of 12114032014 in words is "twelve billion, one hundred fourteen million, thirty-two thousand, fourteen".

Divisors: 1 2 7 14 47 94 211 329 422 658 1477 2954 9917 19834 69419 87253 138838 174506 610771 1221542 4100891 8201782 18410383 28706237 36820766 57412474 128872681 257745362 865288001 1730576002 6057016007 12114032014