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11131101111 = 313416961289
BaseRepresentation
bin10100101110111011…
…10001111110110111
31001201202010112011010
422113131301332313
5140244030213421
65040310043303
7542560540554
oct122735617667
931652115133
1011131101111
1147a2242019
1221a7949533
13108513a380
14778479a2b
15452339076
hex297771fb7

11131101111 has 16 divisors (see below), whose sum is σ = 16372954080. Its totient is φ = 6682836480.

The previous prime is 11131101109. The next prime is 11131101139. The reversal of 11131101111 is 11110113111.

It is not a de Polignac number, because 11131101111 - 21 = 11131101109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3479046 + ... + 3482243.

It is an arithmetic number, because the mean of its divisors is an integer number (1023309630).

Almost surely, 211131101111 is an apocalyptic number.

11131101111 is a deficient number, since it is larger than the sum of its proper divisors (5241852969).

11131101111 is a wasteful number, since it uses less digits than its factorization.

11131101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961346.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 11131101111 its reverse (11110113111), we get a palindrome (22241214222).

The spelling of 11131101111 in words is "eleven billion, one hundred thirty-one million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 13 39 41 123 533 1599 6961289 20883867 90496757 271490271 285412849 856238547 3710367037 11131101111