Search a number
-
+
11110011001011 = 32131713613410323
BaseRepresentation
bin1010000110101100000001…
…0000100101100010110011
31110100002212202202120020100
42201223000100211202303
52424011300304013021
635343511341043443
72224446300232566
oct241530020454263
943302782676210
1011110011001011
1135a380263326a
1212b5240256583
13627891ca3320
142a5a27dc04dd
15143ee4726626
hexa1ac04258b3

11110011001011 has 48 divisors (see below), whose sum is σ = 18300230466336. Its totient is φ = 6434269129728.

The previous prime is 11110011001003. The next prime is 11110011001043. The reversal of 11110011001011 is 11010011001111.

It is not a de Polignac number, because 11110011001011 - 23 = 11110011001003 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 = 11110011000984 and 11110011001002.

It is not an unprimeable number, because it can be changed into a prime (11110011001091) 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 47 ways as a sum of consecutive naturals, for example, 26871096 + ... + 27281418.

It is an arithmetic number, because the mean of its divisors is an integer number (381254801382).

Almost surely, 211110011001011 is an apocalyptic number.

11110011001011 is a deficient number, since it is larger than the sum of its proper divisors (7190219465325).

11110011001011 is a wasteful number, since it uses less digits than its factorization.

11110011001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423972 (or 423969 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11110011001011 its reverse (11010011001111), we get a palindrome (22120022002122).

The spelling of 11110011001011 in words is "eleven trillion, one hundred ten billion, eleven million, one thousand, eleven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 13613 40839 122517 176969 231421 410323 530907 694263 1230969 1592721 2082789 3008473 3692907 5334199 6975491 9025419 16002597 20926473 27076257 48007791 62779419 90681383 272044149 816132447 5585726999 16757180997 50271542991 72614450987 94957358983 217843352961 284872076949 653530058883 854616230847 1234445666779 3703337000337 11110011001011