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11211001011 = 327225421771
BaseRepresentation
bin10100111000011101…
…00100110010110011
31001221022110212012200
422130032210302303
5140430004013021
65052242354243
7544550636100
oct123416446263
931838425180
1011211001011
114833354aa1
12220a65b983
131098864012
14784d17aa7
1545936d126
hex29c3a4cb3

11211001011 has 18 divisors (see below), whose sum is σ = 18837533052. Its totient is φ = 6406286040.

The previous prime is 11211001007. The next prime is 11211001049. The reversal of 11211001011 is 11010011211.

11211001011 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 11211001011 - 22 = 11211001007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11211000984 and 11211001002.

It is not an unprimeable number, because it can be changed into a prime (11211001411) 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 17 ways as a sum of consecutive naturals, for example, 12710445 + ... + 12711326.

It is an arithmetic number, because the mean of its divisors is an integer number (1046529614).

Almost surely, 211211001011 is an apocalyptic number.

11211001011 is a deficient number, since it is larger than the sum of its proper divisors (7626532041).

11211001011 is a wasteful number, since it uses less digits than its factorization.

11211001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421791 (or 25421781 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11211001011 its reverse (11010011211), we get a palindrome (22221012222).

The spelling of 11211001011 in words is "eleven billion, two hundred eleven million, one thousand, eleven".

Divisors: 1 3 7 9 21 49 63 147 441 25421771 76265313 177952397 228795939 533857191 1245666779 1601571573 3737000337 11211001011