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12883311 = 3271947229
BaseRepresentation
bin110001001001…
…010101101111
3220020112120200
4301021111233
511244231221
61140044543
7214335450
oct61112557
926215520
1012883311
1172aa471
124393753
13289107c
1419d5127
1511e7426
hexc4956f

12883311 has 48 divisors (see below), whose sum is σ = 22963200. Its totient is φ = 6796224.

The previous prime is 12883309. The next prime is 12883313. The reversal of 12883311 is 11338821.

It is an interprime number because it is at equal distance from previous prime (12883309) and next prime (12883313).

It is not a de Polignac number, because 12883311 - 21 = 12883309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883313) 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 47 ways as a sum of consecutive naturals, for example, 56145 + ... + 56373.

It is an arithmetic number, because the mean of its divisors is an integer number (478400).

Almost surely, 212883311 is an apocalyptic number.

12883311 is a deficient number, since it is larger than the sum of its proper divisors (10079889).

12883311 is a wasteful number, since it uses less digits than its factorization.

12883311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12883311 is about 3589.3329463843. The cubic root of 12883311 is about 234.4278278784.

The spelling of 12883311 in words is "twelve million, eight hundred eighty-three thousand, three hundred eleven".

Divisors: 1 3 7 9 19 21 47 57 63 133 141 171 229 329 399 423 687 893 987 1197 1603 2061 2679 2961 4351 4809 6251 8037 10763 13053 14427 18753 30457 32289 39159 56259 75341 91371 96867 204497 226023 274113 613491 678069 1431479 1840473 4294437 12883311