Search a number
-
+
111466424664111 = 3112378993249329
BaseRepresentation
bin11001010110000011001100…
…101001011000000000101111
3112121200002022210021010122210
4121112003030221120000233
5104102231214203222421
61033022545113341503
732323116625510506
oct3126031451300057
9477602283233583
10111466424664111
1132575710887800
1210602b34107893
134a27314699bba
141d7500a39383d
15cd476e144576
hex6560cca5802f

111466424664111 has 48 divisors (see below), whose sum is σ = 169661560975200. Its totient is φ = 64991051642880.

The previous prime is 111466424664109. The next prime is 111466424664151.

111466424664111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111466424664111 - 21 = 111466424664109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111466424664151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45429306 + ... + 47820023.

It is an arithmetic number, because the mean of its divisors is an integer number (3534615853650).

Almost surely, 2111466424664111 is an apocalyptic number.

111466424664111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111466424664111 is a deficient number, since it is larger than the sum of its proper divisors (58195136311089).

111466424664111 is a wasteful number, since it uses less digits than its factorization.

111466424664111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93249480 (or 93249469 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 111466424664111 in words is "one hundred eleven trillion, four hundred sixty-six billion, four hundred twenty-four million, six hundred sixty-four thousand, one hundred eleven".

Divisors: 1 3 11 33 37 89 111 121 267 363 407 979 1221 2937 3293 4477 9879 10769 13431 32307 36223 108669 398453 1195359 93249329 279747987 1025742619 3077227857 3450225173 8299190281 10350675519 11283168809 24897570843 33849506427 37952476903 91291093091 113857430709 273873279273 307070040397 417477245933 921210121191 1004202024001 1252431737799 3012606072003 3377770444367 10133311333101 37155474888037 111466424664111