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11101310111 = 231632961139
BaseRepresentation
bin10100101011011000…
…01000110010011111
31001122200001222120202
422111230020302133
5140213413410421
65033323334115
7542046402413
oct122554106237
931580058522
1011101310111
114787444661
12219998133b
13107bc09568
14774522d43
1544e90210b
hex295b08c9f

11101310111 has 8 divisors (see below), whose sum is σ = 11655047040. Its totient is φ = 10553495832.

The previous prime is 11101310083. The next prime is 11101310119.

11101310111 is nontrivially palindromic in base 10.

11101310111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101310111 - 26 = 11101310047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101310092 and 11101310101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101310119) 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 7 ways as a sum of consecutive naturals, for example, 1476821 + ... + 1484318.

It is an arithmetic number, because the mean of its divisors is an integer number (1456880880).

Almost surely, 211101310111 is an apocalyptic number.

11101310111 is a deficient number, since it is larger than the sum of its proper divisors (553736929).

11101310111 is a wasteful number, since it uses less digits than its factorization.

11101310111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961325.

The product of its (nonzero) digits is 3, while the sum is 11.

Multiplying 11101310111 by its sum of digits (11), we get a palindrome (122114411221).

The spelling of 11101310111 in words is "eleven billion, one hundred one million, three hundred ten thousand, one hundred eleven".

Divisors: 1 23 163 3749 2961139 68106197 482665657 11101310111