Search a number
-
+
12014312411211 = 311171919122725997
BaseRepresentation
bin1010111011010100110011…
…0100101101000001001011
31120112120001002101220222120
42232311030310231001023
53033320302434124321
641315144322422323
72350001601341625
oct256651464550113
946476032356876
1012014312411211
113912272164220
121420554b019a3
13691c38953766
142d76d2779c15
1515c7be6b4ec6
hexaed4cd2d04b

12014312411211 has 128 divisors (see below), whose sum is σ = 19666168381440. Its totient is φ = 6429705062400.

The previous prime is 12014312411203. The next prime is 12014312411251. The reversal of 12014312411211 is 11211421341021.

12014312411211 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 12014312411211 - 23 = 12014312411203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12014312411251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 462129265 + ... + 462155261.

It is an arithmetic number, because the mean of its divisors is an integer number (153641940480).

Almost surely, 212014312411211 is an apocalyptic number.

12014312411211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12014312411211 is a deficient number, since it is larger than the sum of its proper divisors (7651855970229).

12014312411211 is a wasteful number, since it uses less digits than its factorization.

12014312411211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26465.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 12014312411211 its reverse (11211421341021), we get a palindrome (23225733752232).

The spelling of 12014312411211 in words is "twelve trillion, fourteen billion, three hundred twelve million, four hundred eleven thousand, two hundred eleven".

Divisors: 1 3 11 17 19 33 51 57 187 191 209 227 323 561 573 627 681 969 2101 2497 3247 3553 3629 3859 4313 6303 7491 9741 10659 10887 11577 12939 25997 35717 39919 42449 43357 47443 61693 73321 77991 107151 119757 127347 130071 142329 185079 219963 285967 441949 476927 493943 678623 737069 806531 823783 857901 1325847 1430781 1481829 2035869 2211207 2419593 2471349 4861439 4965427 5433373 5901319 8107759 8397031 9061613 14004311 14584317 14896281 16300119 17703957 24323277 25191093 27184839 42012933 54619697 64914509 84412259 92367341 94343113 100322423 112125061 154047421 163859091 194743527 253236777 277102023 283029339 300967269 336375183 462142263 928534849 1037774243 1103546653 1127151929 1233375671 1603832921 1906126037 2785604547 3113322729 3310639959 3381455787 3700127013 4811498763 5718378111 12398671219 17642162131 19161582793 20967386407 21415886651 37196013657 52926486393 57484748379 62902159221 64247659953 210777410723 235574753161 364070073067 632332232169 706724259483 1092210219201 4004770803737 12014312411211