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12114013 = 172167251
BaseRepresentation
bin101110001101…
…100001011101
3211210110022011
4232031201131
511100122023
61111351221
7204652552
oct56154135
924713264
1012114013
11692448a
124082511
132681b72
141874a29
1510e450d
hexb8d85d

12114013 has 12 divisors (see below), whose sum is σ = 12997152. Its totient is φ = 11288000.

The previous prime is 12114007. The next prime is 12114017. The reversal of 12114013 is 31041121.

It is not a de Polignac number, because 12114013 - 217 = 11982941 is a prime.

It is a super-3 number, since 3×121140133 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12113984 and 12114002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114017) 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, 48138 + ... + 48388.

It is an arithmetic number, because the mean of its divisors is an integer number (1083096).

Almost surely, 212114013 is an apocalyptic number.

It is an amenable number.

12114013 is a deficient number, since it is larger than the sum of its proper divisors (883139).

12114013 is a wasteful number, since it uses less digits than its factorization.

12114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12114013 is about 3480.5190704836. The cubic root of 12114013 is about 229.6656326043.

Adding to 12114013 its reverse (31041121), we get a palindrome (43155134).

The spelling of 12114013 in words is "twelve million, one hundred fourteen thousand, thirteen".

Divisors: 1 17 167 251 289 2839 4267 41917 48263 72539 712589 12114013