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100011001111 = 722041040839
BaseRepresentation
bin101110100100100011…
…1101100010100010111
3100120010221100020221021
41131021013230110113
53114310304013421
6113535554502011
710140236324500
oct1351107542427
9316127306837
10100011001111
113946166a42a
1217471594907
13957ab91b88
144baa6c5ba7
1529051ae341
hex17491ec517

100011001111 has 6 divisors (see below), whose sum is σ = 116339327880. Its totient is φ = 85723715196.

The previous prime is 100011001109. The next prime is 100011001117. The reversal of 100011001111 is 111100110001.

It is a happy number.

It is not a de Polignac number, because 100011001111 - 21 = 100011001109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011001094 and 100011001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1020520371 + ... + 1020520468.

It is an arithmetic number, because the mean of its divisors is an integer number (19389887980).

Almost surely, 2100011001111 is an apocalyptic number.

100011001111 is a deficient number, since it is larger than the sum of its proper divisors (16328326769).

100011001111 is an equidigital number, since it uses as much as digits as its factorization.

100011001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041040853 (or 2041040846 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011001111 its reverse (111100110001), we get a palindrome (211111111112).

The spelling of 100011001111 in words is "one hundred billion, eleven million, one thousand, one hundred eleven".

Divisors: 1 7 49 2041040839 14287285873 100011001111