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112121111111 = 1011110110011
BaseRepresentation
bin110100001101011110…
…0000110001001000111
3101201101220122120210212
41220122330012021013
53314111001023421
6123301400310035
711046315501602
oct1503274061107
9351356576725
10112121111111
11436064982a9
121989117231b
13a75aa99b39
1455d8ba7339
152db342ee5b
hex1a1af06247

112121111111 has 4 divisors (see below), whose sum is σ = 113231221224. Its totient is φ = 111011001000.

The previous prime is 112121111107. The next prime is 112121111173. The reversal of 112121111111 is 111111121211.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 112121111111 - 22 = 112121111107 is a prime.

It is a super-2 number, since 2×1121211111112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

112121111111 is a modest number, since divided by 1111111 gives 11212 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121116111) 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 3 ways as a sum of consecutive naturals, for example, 555054905 + ... + 555055106.

It is an arithmetic number, because the mean of its divisors is an integer number (28307805306).

Almost surely, 2112121111111 is an apocalyptic number.

112121111111 is a deficient number, since it is larger than the sum of its proper divisors (1110110113).

112121111111 is a wasteful number, since it uses less digits than its factorization.

112121111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110110112.

The product of its digits is 4, while the sum is 14.

Adding to 112121111111 its reverse (111111121211), we get a palindrome (223232232322).

It can be divided in two parts, 1121211 and 11111, that multiplied together give a palindrome (12457775421).

The spelling of 112121111111 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 101 1110110011 112121111111