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12115441 = 132174217
BaseRepresentation
bin101110001101…
…110111110001
3211210112021001
4232031313301
511100143231
61111402001
7204656662
oct56156761
924715231
1012115441
116925568
124083301
132682700
141875369
1510e4b61
hexb8ddf1

12115441 has 12 divisors (see below), whose sum is σ = 13894092. Its totient is φ = 10523136.

The previous prime is 12115421. The next prime is 12115463. The reversal of 12115441 is 14451121.

It can be written as a sum of positive squares in 6 ways, for example, as 5041 + 12110400 = 71^2 + 3480^2 .

It is not a de Polignac number, because 12115441 - 221 = 10018289 is a prime.

It is a super-3 number, since 3×121154413 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765 + ... + 4981.

It is an arithmetic number, because the mean of its divisors is an integer number (1157841).

Almost surely, 212115441 is an apocalyptic number.

It is an amenable number.

12115441 is a deficient number, since it is larger than the sum of its proper divisors (1778651).

12115441 is a wasteful number, since it uses less digits than its factorization.

12115441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4247 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 12115441 is about 3480.7242062536. The cubic root of 12115441 is about 229.6746565790.

Adding to 12115441 its reverse (14451121), we get a palindrome (26566562).

The spelling of 12115441 in words is "twelve million, one hundred fifteen thousand, four hundred forty-one".

Divisors: 1 13 17 169 221 2873 4217 54821 71689 712673 931957 12115441