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12444110211 = 31317193726699
BaseRepresentation
bin10111001011011101…
…00000110110000011
31012010020210022000210
423211232200312003
5200441143011321
65414452245203
7620243122461
oct134556406603
935106708023
1012444110211
115306415205
1224b3610803
13123417b730
148609c5831
154cc748b76
hex2e5ba0d83

12444110211 has 64 divisors (see below), whose sum is σ = 20454336000. Its totient is φ = 6643316736.

The previous prime is 12444110209. The next prime is 12444110267. The reversal of 12444110211 is 11201144421.

12444110211 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 12444110211 - 21 = 12444110209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12444110291) 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 63 ways as a sum of consecutive naturals, for example, 452740 + ... + 479438.

It is an arithmetic number, because the mean of its divisors is an integer number (319599000).

Almost surely, 212444110211 is an apocalyptic number.

12444110211 is a deficient number, since it is larger than the sum of its proper divisors (8010225789).

12444110211 is a wasteful number, since it uses less digits than its factorization.

12444110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26788.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12444110211 its reverse (11201144421), we get a palindrome (23645254632).

The spelling of 12444110211 in words is "twelve billion, four hundred forty-four million, one hundred ten thousand, two hundred eleven".

Divisors: 1 3 13 17 19 37 39 51 57 111 221 247 323 481 629 663 703 741 969 1443 1887 2109 4199 8177 9139 11951 12597 24531 26699 27417 35853 80097 155363 347087 453883 466089 507281 987863 1041261 1361649 1521843 2963589 5900479 6594653 8623777 12842219 16793671 17701437 18769397 19783959 25871331 38526657 50381013 56308191 112109101 218317723 244002161 319079749 336327303 654953169 732006483 957239247 4148036737 12444110211