Search a number
-
+
12211112002111 = 1129164239233071
BaseRepresentation
bin1011000110110001111011…
…1111100100001000111111
31121020101000101112222112121
42301230132333210020333
53100031324133031421
641545412444543411
72400136511303101
oct261543677441077
947211011488477
1012211112002111
113988781422720
121452718851b67
136a766cbbcb29
143030417a7571
1516298bba9d41
hexb1b1efe423f

12211112002111 has 16 divisors (see below), whose sum is σ = 13780708300800. Its totient is φ = 10718106184800.

The previous prime is 12211112002093. The next prime is 12211112002123. The reversal of 12211112002111 is 11120021111221.

It is a cyclic number.

It is not a de Polignac number, because 12211112002111 - 225 = 12211078447679 is a prime.

It is a super-2 number, since 2×122111120021112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211112002511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52275706 + ... + 52508776.

It is an arithmetic number, because the mean of its divisors is an integer number (861294268800).

Almost surely, 212211112002111 is an apocalyptic number.

12211112002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211112002111 is a deficient number, since it is larger than the sum of its proper divisors (1569596298689).

12211112002111 is a wasteful number, since it uses less digits than its factorization.

12211112002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397350.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12211112002111 its reverse (11120021111221), we get a palindrome (23331133113332).

It can be divided in two parts, 1221 and 1112002111, that multiplied together give a palindrome (1357754577531).

The spelling of 12211112002111 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, two thousand, one hundred eleven".

Divisors: 1 11 29 319 164239 233071 1806629 2563781 4762931 6759059 52392241 74349649 38279347969 421072827659 1110101091101 12211112002111