Search a number
-
+
11121212011 = 713236187107
BaseRepresentation
bin10100101101110000…
…00011101001101011
31001201001112002212011
422112320003221223
5140234012241021
65035314100351
7542410512430
oct122670035153
931631462764
1011121212011
1147976a8208
1221a457a6b7
131083087130
14777023b87
15451533de1
hex296e03a6b

11121212011 has 32 divisors (see below), whose sum is σ = 14517070848. Its totient is φ = 8278554240.

The previous prime is 11121211987. The next prime is 11121212153. The reversal of 11121212011 is 11021212111.

It is a happy number.

11121212011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11121212011 - 215 = 11121179243 is a prime.

It is a super-2 number, since 2×111212120112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11121211982 and 11121212000.

It is not an unprimeable number, because it can be changed into a prime (11121210011) 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 31 ways as a sum of consecutive naturals, for example, 84120 + ... + 171226.

It is an arithmetic number, because the mean of its divisors is an integer number (453658464).

Almost surely, 211121212011 is an apocalyptic number.

11121212011 is a deficient number, since it is larger than the sum of its proper divisors (3395858837).

11121212011 is a wasteful number, since it uses less digits than its factorization.

11121212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87211.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11121212011 its reverse (11021212111), we get a palindrome (22142424122).

The spelling of 11121212011 in words is "eleven billion, one hundred twenty-one million, two hundred twelve thousand, eleven".

Divisors: 1 7 13 23 61 91 161 299 427 793 1403 2093 5551 9821 18239 87107 127673 609749 1132391 2003461 5313527 7926737 14024227 26044993 37194689 69075851 122211121 182314951 483530957 855477847 1588744573 11121212011