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12224243241 = 3272924127763
BaseRepresentation
bin10110110001001111…
…10010011000101001
31011112221001220020200
423120213302120221
5200013401240431
65340555542413
7611633232060
oct133047623051
934487056220
1012224243241
1152032a2971
122451a5aa09
1311ca759732
1483d7111d7
154b82b7ee6
hex2d89f2629

12224243241 has 48 divisors (see below), whose sum is σ = 20962930560. Its totient is φ = 6716183040.

The previous prime is 12224243221. The next prime is 12224243243. The reversal of 12224243241 is 14234242221.

It is a happy number.

12224243241 is a `hidden beast` number, since 1 + 2 + 224 + 2 + 432 + 4 + 1 = 666.

12224243241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12224243241 - 25 = 12224243209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12224243243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426426 + ... + 454188.

It is an arithmetic number, because the mean of its divisors is an integer number (436727720).

Almost surely, 212224243241 is an apocalyptic number.

It is an amenable number.

12224243241 is a deficient number, since it is larger than the sum of its proper divisors (8738687319).

12224243241 is a wasteful number, since it uses less digits than its factorization.

12224243241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28046 (or 28043 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12224243241 its reverse (14234242221), we get a palindrome (26458485462).

It can be divided in two parts, 12 and 224243241, that added together give a triangular number (224243253 = T21177).

The spelling of 12224243241 in words is "twelve billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 29 63 87 203 241 261 609 723 1687 1827 2169 5061 6989 15183 20967 27763 48923 62901 83289 146769 194341 249867 440307 583023 805127 1749069 2415381 5635889 6690883 7246143 16907667 20072649 46836181 50723001 60217947 140508543 194035607 421525629 582106821 1358249249 1746320463 4074747747 12224243241