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12427311 = 3131931541
BaseRepresentation
bin101111011010…
…000000101111
3212101101001210
4233122000233
511140133221
61122205503
7210426141
oct57320057
925341053
1012427311
117018906
1241b3893
132761650
141916c91
151157276
hexbda02f

12427311 has 32 divisors (see below), whose sum is σ = 19425280. Its totient is φ = 6998400.

The previous prime is 12427309. The next prime is 12427319. The reversal of 12427311 is 11372421.

It is not a de Polignac number, because 12427311 - 21 = 12427309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427319) 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 31 ways as a sum of consecutive naturals, for example, 22701 + ... + 23241.

It is an arithmetic number, because the mean of its divisors is an integer number (607040).

Almost surely, 212427311 is an apocalyptic number.

12427311 is a deficient number, since it is larger than the sum of its proper divisors (6997969).

12427311 is a wasteful number, since it uses less digits than its factorization.

12427311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607.

The product of its digits is 336, while the sum is 21.

The square root of 12427311 is about 3525.2391408243. The cubic root of 12427311 is about 231.6287102616.

Adding to 12427311 its reverse (11372421), we get a palindrome (23799732).

The spelling of 12427311 in words is "twelve million, four hundred twenty-seven thousand, three hundred eleven".

Divisors: 1 3 13 19 31 39 57 93 247 403 541 589 741 1209 1623 1767 7033 7657 10279 16771 21099 22971 30837 50313 133627 218023 318649 400881 654069 955947 4142437 12427311