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12114417 = 37361193
BaseRepresentation
bin101110001101…
…100111110001
3211210110212010
4232031213301
511100130132
61111353133
7204654000
oct56154761
924713763
1012114417
116924817
1240827a9
1326820c3
141874c37
1510e46cc
hexb8d9f1

12114417 has 32 divisors (see below), whose sum is σ = 19244800. Its totient is φ = 6773760.

The previous prime is 12114407. The next prime is 12114437. The reversal of 12114417 is 71441121.

It is not a de Polignac number, because 12114417 - 218 = 11852273 is a prime.

It is a super-3 number, since 3×121144173 (a number of 22 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12114393 and 12114402.

It is not an unprimeable number, because it can be changed into a prime (12114407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62673 + ... + 62865.

It is an arithmetic number, because the mean of its divisors is an integer number (601400).

Almost surely, 212114417 is an apocalyptic number.

It is an amenable number.

12114417 is a deficient number, since it is larger than the sum of its proper divisors (7130383).

12114417 is an equidigital number, since it uses as much as digits as its factorization.

12114417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 12114417 is about 3480.5771073200. The cubic root of 12114417 is about 229.6681856775.

Adding to 12114417 its reverse (71441121), we get a palindrome (83555538).

The spelling of 12114417 in words is "twelve million, one hundred fourteen thousand, four hundred seventeen".

Divisors: 1 3 7 21 49 61 147 183 193 343 427 579 1029 1281 1351 2989 4053 8967 9457 11773 20923 28371 35319 62769 66199 82411 198597 247233 576877 1730631 4038139 12114417