Search a number
-
+
12111332211111 = 373775125218233
BaseRepresentation
bin1011000000111110001110…
…1001110111100110100111
31120212211110120021102020210
42300033203221313212213
53041413002021223421
641431511425430503
72360005050131250
oct260174351674647
946784416242223
1012111332211111
11394a429322931
12143731079b433
1369b12abc1c93
142dc297aa9b27
1516009be6c576
hexb03e3a779a7

12111332211111 has 64 divisors (see below), whose sum is σ = 18989230247936. Its totient is φ = 6721263360000.

The previous prime is 12111332211103. The next prime is 12111332211157. The reversal of 12111332211111 is 11111223311121.

It is not a de Polignac number, because 12111332211111 - 23 = 12111332211103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111332216111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1471067451 + ... + 1471075683.

It is an arithmetic number, because the mean of its divisors is an integer number (296706722624).

Almost surely, 212111332211111 is an apocalyptic number.

12111332211111 is a deficient number, since it is larger than the sum of its proper divisors (6877898036825).

12111332211111 is a wasteful number, since it uses less digits than its factorization.

12111332211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552.

The product of its digits is 72, while the sum is 21.

Adding to 12111332211111 its reverse (11111223311121), we get a palindrome (23222555522232).

The spelling of 12111332211111 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-two million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 3 7 21 37 111 259 751 777 2253 2521 5257 7563 8233 15771 17647 24699 27787 52941 57631 83361 93277 172893 194509 279831 304621 583527 652939 913863 1893271 1958817 2132347 5679813 6182983 6397041 13252897 18548949 20755393 39758691 43280881 62266179 70051027 129842643 145287751 210153081 228770371 435863253 490357189 686311113 767949541 1471071567 1601392597 2303848623 4804177791 5375646787 15587300143 16126940361 46761900429 109111101001 327333303003 576730105291 1730190315873 4037110737037 12111332211111