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12114641 = 711214303
BaseRepresentation
bin101110001101…
…101011010001
3211210111011102
4232031223101
511100132031
61111354145
7204654440
oct56155321
924714142
1012114641
116924a00
124082955
132682236
141874d57
1510e47cb
hexb8dad1

12114641 has 12 divisors (see below), whose sum is σ = 15219456. Its totient is φ = 9439320.

The previous prime is 12114637. The next prime is 12114643. The reversal of 12114641 is 14641121.

It is not a de Polignac number, because 12114641 - 22 = 12114637 is a prime.

It is a super-3 number, since 3×121146413 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12114643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6305 + ... + 7998.

It is an arithmetic number, because the mean of its divisors is an integer number (1268288).

Almost surely, 212114641 is an apocalyptic number.

12114641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12114641 is a deficient number, since it is larger than the sum of its proper divisors (3104815).

12114641 is a wasteful number, since it uses less digits than its factorization.

12114641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14332 (or 14321 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 12114641 is about 3480.6092857429. The cubic root of 12114641 is about 229.6696012184.

Adding to 12114641 its reverse (14641121), we get a palindrome (26755762).

It can be divided in two parts, 121 and 14641, that multiplied together give a 6-th power (1771561 = 116).

The spelling of 12114641 in words is "twelve million, one hundred fourteen thousand, six hundred forty-one".

Divisors: 1 7 11 77 121 847 14303 100121 157333 1101331 1730663 12114641