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12085311 = 372194327
BaseRepresentation
bin101110000110…
…100000111111
3211201222221010
4232012200333
511043212221
61111010303
7204503100
oct56064077
924658833
1012085311
116904967
124069993
132671a94
1418683a7
1510dac76
hexb8683f

12085311 has 24 divisors (see below), whose sum is σ = 19735680. Its totient is φ = 6540912.

The previous prime is 12085303. The next prime is 12085321. The reversal of 12085311 is 11358021.

It is not a de Polignac number, because 12085311 - 23 = 12085303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085321) 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 23 ways as a sum of consecutive naturals, for example, 630 + ... + 4956.

It is an arithmetic number, because the mean of its divisors is an integer number (822320).

Almost surely, 212085311 is an apocalyptic number.

12085311 is a deficient number, since it is larger than the sum of its proper divisors (7650369).

12085311 is a wasteful number, since it uses less digits than its factorization.

12085311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 12085311 is about 3476.3933897072. The cubic root of 12085311 is about 229.4841052021.

The spelling of 12085311 in words is "twelve million, eighty-five thousand, three hundred eleven".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 4327 12981 30289 82213 90867 212023 246639 575491 636069 1726473 4028437 12085311