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11021212011 = 3731011373637
BaseRepresentation
bin10100100001110101…
…00101100101101011
31001110002100120122110
422100322211211223
5140032412241021
65021342453403
7540054520305
oct122072454553
931402316573
1011021212011
114746206787
122176b94263
131068443634
14767a32975
1544787e476
hex290ea596b

11021212011 has 32 divisors (see below), whose sum is σ = 15157712448. Its totient is φ = 7120742400.

The previous prime is 11021211983. The next prime is 11021212049.

11021212011 is nontrivially palindromic in base 10.

11021212011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11021212011 - 210 = 11021210987 is a prime.

It is a super-3 number, since 3×110212120113 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11021212061) 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, 3028485 + ... + 3032121.

It is an arithmetic number, because the mean of its divisors is an integer number (473678514).

Almost surely, 211021212011 is an apocalyptic number.

11021212011 is a deficient number, since it is larger than the sum of its proper divisors (4136500437).

11021212011 is a wasteful number, since it uses less digits than its factorization.

11021212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 11021212011 in words is "eleven billion, twenty-one million, two hundred twelve thousand, eleven".

Divisors: 1 3 73 101 137 219 303 411 3637 7373 10001 10911 13837 22119 30003 41511 265501 367337 498269 796503 1010101 1102011 1494807 3030303 26815601 36373637 50325169 80446803 109120911 150975507 3673737337 11021212011