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100011111111 = 3237300333667
BaseRepresentation
bin101110100100100100…
…0000111001011000111
3100120010221112211211100
41131021020013023013
53114310321023421
6113540001111143
710140240263262
oct1351110071307
9316127484740
10100011111111
113946173503a
12174716284b3
13957abccc72
144baa713cd9
1529051d1c26
hex17492072c7

100011111111 has 12 divisors (see below), whose sum is σ = 148364831992. Its totient is φ = 64872071856.

The previous prime is 100011111103. The next prime is 100011111131. The reversal of 100011111111 is 111111110001.

It is not a de Polignac number, because 100011111111 - 23 = 100011111103 is a prime.

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

It is a Duffinian number.

100011111111 is a modest number, since divided by 111111 gives 100011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100011111093 and 100011111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011111131) 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 11 ways as a sum of consecutive naturals, for example, 150166501 + ... + 150167166.

Almost surely, 2100011111111 is an apocalyptic number.

100011111111 is a deficient number, since it is larger than the sum of its proper divisors (48353720881).

100011111111 is a wasteful number, since it uses less digits than its factorization.

100011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300333710 (or 300333707 counting only the distinct ones).

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

Adding to 100011111111 its reverse (111111110001), we get a palindrome (211122221112).

It can be divided in two parts, 10001 and 1111111, that multiplied together give a palindrome (11112221111).

The spelling of 100011111111 in words is "one hundred billion, eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 37 111 333 300333667 901001001 2703003003 11112345679 33337037037 100011111111